61. Amalie Emmy Noether Translate this page Amalie emmy noether. ab 1927 Abstrakte Algebra - mit ihren Untersuchungen zur abstraktenAlgebra erweiterte emmy noether die Grundlagen der Zahlentheorie. http://www.gss.tue.bw.schule.de/projekte/g-noether.html

Geschwister-Scholl-Schule Tübingen [Home] Amalie Emmy Noether (2. März 1882 - 14. April 1935) eine Mathematikerin vor genau hundert Jahren so alt wie ihr - pi mal Daumen fünfzehn Emmy wurde als erstes Kind von Ida Noether, geb. Kaufmann, am 23. März 1882 in Erlangen geboren. Ihr Vater Max Noether war seit 1875 Professor der Mathematik in Erlangen, das - nicht zuletzt durch sein Wirken - einen guten Ruf als "Pflegestätte der Mathematik" hatte. Beide Elternteile stammten aus vermögenden Familien von Kaufleuten und Gelehrten jüdischen Glaubens. In diesem etwas kleinstädtisch Gefärbten Milieu einer Universitätsstadt vergleichbar mit Tübingen wuchs Emmy heran, zusammen mit drei jüngeren Brüdern. Alle schlugen eine wissenschaftliche Laufbahn ein. Ihr Bruder Fritz wurde Professor der angewandten Mathematik. Ein Mädchen aber war damals im Deutschen Kaiserreich nicht für die Wissenschaft bestimmt, schon gar nicht für Mathematik. Wie viele jüdische Mädchen bekam sie eine gute Ausbildung zuerst an einer "Höheren Töchterschule" mit einer für Mädchen "typischen" sprachlichen und hauswirtschaftlichen Ausbildung. (und heute?)

62. Mathematiker Im Nationalsozialismus - Amalie Emmy Noether Translate this page Amalie emmy noether. ab 1927 Abstrakte Algebra - mit ihren Untersuchungen zurabstrakten Algebra erweiterte emmy noether die Grundlagen der Zahlentheorie. http://www.gss.tue.bw.schule.de/NOETHER.HTM

63. Emmy Amalie Noether 2c6c0%28Amalie%29%20 emmy http//www.scottlan.edu/Iridd/e/women/noether.html -http//www.groups.dcs.st-and.orc.uk/~history/Mathematicians/noether=emmy.html. http://warrensburg.k12.mo.us/math/emmy/ali.html

Emmy Amalie Noether By: Ali G. Amalie Emmy Noether My dance is Mathematics Down, down, down into the darkness of the grave. Gently they go, the beautiful, the tender, the brave. I know. But I do not approve. And I am not resigned. Dinge with Veisee by: Edna St. Vinceat. Millay; offered by: Herman Weyl, in a Memorial Address for Amalie Emmy Noether, on April 26, 1933, at Bryn Maur College. Amalie Emmy Noether was born on March 23, 1882 in Erlangen, Bavaria, in Germany and she died on April 14, 1935 in Bryn Mavr, Pennsylvania, in the U.S.A. Her father, Max Noether, was a distinqueshed mathematician. Her mother, Ida Kauffmann, came from a wealthy cologne family. Emmy was the eldest of four children. Her three younger siblings were boys. Emmy was a mathematician in the first half of the 20th century. Emmy is best known for her contributions to abstract algebra, her study of chain conditions on ideals of rings, groups, and fields. Emmy started out in the subject area of Language and English. Later, she changed her field to Mathematics. Emmy was never permitted to hold a paid position. Emmy taught for no pay, so she could use the universities facilities, for her work. Emmy had an official appointment at Gottingen University, in 1919. Emmy developed the theories of ideals and of non- commutative algebras. After the Nazis dismissed Emmy and all other Jewish professors in 1933, she worked in th U.S., at Bryn Mavr college and she worked at the Institute for Advanced Study, Princeton.

64. Auguste Dick, Emmy Noether emmy noether. 18821935. by Auguste Dick. translated from the Germanby Heidi I. Blocher. Boston, Basel, Stuttgart Birkhäuser, 1981. http://www.cscs.umich.edu/~crshalizi/reviews/dick-on-noether/

The Bactra Review: Occasional and eclectic book reviews by Cosma Shalizi Emmy Noether by Auguste Dick translated from the German by Heidi I. Blocher Emmy Noether is universally acknowledged to be one of the great mathematicians of modern times, responsible for not only one of the most important principles in mathematical physics, but fundamental innovations in abstract algebra as well. Her importance to the history of science and mathematics is only enhanced by the fact that, while in many ways typical of the great mathematicians of the first half of this century (not just either German or Jewish but both, child of another mathematician, passionate about abstraction and rigor, extremely unworldly, an exile, and emotionally the sort of person who'd drive a guidance counselor to distraction), she was of course a woman, and the only female mathematician to have made it into the pantheon. The book under review seems to be the closest thing to a proper, full-length study of her life and work, at least in English, but it is hardly satisfactory on any count. Outside of pure mathematics, Noether is most famous for her theorem about invariants in variational problems, commonly known as just ``Noether's Theorem.'' While stated with a high degree of generality, it is most usually applied to physics, where its meaning can be made somewhat intuitive, provided some ground-clearing work is done first. One has to begin with the notion of a transformation, which is a change (perhaps purely imaginary) to either the things we're interested in, or the way we measure them. A typical transformation is to rotate one's experimental apparatus, or (equivalently) to rotate our coordinate grid, or to start the experiment at a different time (which is equivalent to zeroing our clock at a different time, and is called

65. Mathematische Fakultät Göttingen: Emmy Noether Translate this page emmy noether. emmy noether war die bedeutendste Mathematikerin, diebis heute gelebt hat und eine ganz außergewöhnliche Frau war. http://www.math.uni-goettingen.de/Personen/Bedeutende_Mathematiker/noether.html

Mathematische Fakultät Georg-August-Universität Göttingen Updates: letztes: 20.02.2002 jp                                 [ verantwortlich zurück zur Fakultät Universität Emmy Noether Emmy Noether war die bedeutendste Mathematikerin, die bis heute gelebt hat und eine ganz außergewöhnliche Frau war. Nun konnte Emmy Noether selbständig Vorlesungen ankündigen, erhielt aber kein Gehalt, auch nicht nach Ernennung zum "Nicht-Beamten Ausserordentlichen Professor". Erst 1923 erhielt sie einen Lehrauftrag und somit wenigstens ein kleines festes Einkommen, konnte jetzt auch offiziell Schüler bis zum Examen führen, unter ihnen manchen später bekanntgewordenen Mathematiker wie z.B. - um nur einen zu nennen - Max Deuring, von 1950 - 1984 Ordinarius in Göttingen. Kollegen, die Emmy Noether persönlich gekannt hatten, heben in Erinnerungen übereinstimmend ihre Bescheidenheit und Anspruchslosigkeit für ihre eigene Person hervor, und sie betonten ihre menschliche Wärme. Stets war sie um das Schicksal ihrer Schüler besorgt. Noch 1933, nach ihrer Entlassung, kümmerte sie dies mehr als ihre eigene Zukunft. Unter dem nationalsozialistischen Regime war sie eine der ersten, die ihre Stellung verlor. In den USA fand sie Aufnahme als Gastprofessor am Bryn Mawr Women's College und hielt regelmäßig Vorträge am Institute for Advanced Study in Princeton. Sie starb 1935 an den Folgen einer Operation. Nachrufe erschienen in der "New York Times", aber auch in Deutschland von van der Waerden in den "Mathematischen Annalen".

66. About Emmy Noether Advertisement. emmy noether. (March 23, 1882 Born in Germany and namedAmalie emmy noether, she was known as emmy. Her father was http://womenshistory.about.com/library/bio/blbio_emmy_noether.htm

zfp=-1 About History Women's History Search in this topic on About on the Web in Products Web Hosting in partnership with Women's History with Jone Johnson Lewis Your Guide to one of hundreds of sites Home Articles Forums ... Help zmhp('style="color:#fff"') This Week's Articles tod('tih'); Today in History Daily Quiz tod('pod'); Picture of the Day Special Subscription Offers Subscribe Now Choose One: Subscribe Customer Service Subjects Essentials/Basics March: WH Month! Biographies World: by Place ... All articles on this topic Stay up-to-date! Subscribe to our newsletter. Advertising Free Credit Report Free Psychics Advertisement Emmy Noether March 23 , 1882 - April 14, 1935) mathematician Amalie Noether, Emily Noether, Amelie Noether Born in Germany and named Amalie Emmy Noether, she was known as Emmy. Her father was a mathematics professor at the University of Erlangen and her mother was from a wealthy family. Emmy Noether studied arithmetic and languages but was not permitted as a girl to enroll in the college preparatory school, the gymnasium. Her graduation qualified her to teach French and English in girls' schools, apparently her career intention but then she changed her mind and decided she wanted to study mathematics at the university level. To enroll in a university, she had to get permission of the professors to take an entrance exam she did and she passed, after sitting in on mathematics lectures at the University of Erlangen. She was then allowed to audit courses first at the University of Erlangen and then the University of G

67. VEDA emmy noether se ale nikdy nestala ucitelkou jazyku. Clánek prednášel FelixKlein, protože emmy noether nebyla clenkou Královské spolecnosti. http://pes.eunet.cz/veda/clanky/666_0_0_0.html

NEVIDITELNÝ PES EUROPE'S ZVÍØETNÍK BYDLO ... SWNET Sobota 29.4.2000 Svátek má Robert Vše rozbalit Celé sbalit Archiv vydání Nadpis Autor Text èlánku HLAVNÍ STRÁNKA Emmy Amalie Noether Jiøí Svršek Emmy Amalie Noether Max Noether byl významným matematikem a profesorem na Univerzitì v Erlangenu. Emmy Amalie Noether (23.3. 1882 - 14.4. 1935) navštìvovala v roce 1900 úspìšnì vykonala zkoušky a získala oprávnìní vyuèovat angliètinu a francouzštinu na bavorských dívèích školách. Emmy Noether se ale nikdy nestala uèitelkou jazykù. Rozhodla se pro obtížnou cestu žen tehdejší doby a zaèala studovat na univerzitì matematiku. Žena v Nìmecku mohla na univerzitách studovat pouze neoficiálnì a každý profesor musel dát souhlas k tomu, aby mohla navštìvovat jeho pøednášky. Pøednášky na Univerzitì v Erlangenu navštìvovala v letech 1900 až 1902. V roce 1902 vykonala imatrikulaèní zkoušku v Norimberku a odešla na Univerzitu v Göttingenu, kde v letech 1903 až 1904 navštìvovala pøednášky Blumenthala, Hilberta, Kleina a Minkowského. V roce 1904 dostala souhlas se imatrikulovat v Erlangenu a v roce 1907 získala doktorát pod vedením Paula Gordana Její povìst se rychle zlepšovala s tím, jak publikovala své práce. V roce 1908 byla pøijata do Circolo Matematico di Palermo a v roce 1909 se stala èlenkou Deutsche Mathematiker Vereinigung. Ve stejném roce dostala pozvání na výroèní zasedání Spoleènosti v Salzburgu. V roce 1913 pøednášela ve Vídni.

68. Emmy Noether http://cip-lxw.physik.uni-siegen.de/noether/

Emmy Noether - Ausstellung Ausstellung zu Leben und Werk der Emmy Noether (1882-1935) ab 19. April 2000 Programm Zu Emmy Noether (Lebenslauf; Kurzfassung) Dokumentation zur Ausstellung (Leben und Werk) Materialien zur Noether-Ausstellung Albert Einstein schreibt 1918 in einem Brief an Hilbert:

69. Emmy Noether (Nöther) Translate this page noether (Nöther) Amalie emmy allemande, 1882-1935 Fille du mathématicienMax noether. Comme toutes les jeunes femmes éprises http://www.sciences-en-ligne.com/momo/chronomath/chrono2/Noether.html

NOETHER Amalie Emmy allemande, 1882-1935 Max Noether Hilbert anneau unitaire dont tout Hypatia Agnesi Germain Kovaleskaia Chazy Wedderburn

70. Dr. Cordula Tollmien Emmy Noether http://www.cordula-tollmien.de/noether.html

Emmy Noether (1882 - 1835) - eine der bedeutendsten Mathematiker(innen) der Welt Das Foto stammt aus Constance Reid, Richard Courant 1888-1972. Der Mathematiker als Zeitgenosse, erschienen im Springer-Verlag Berlin Heidelberg New York 1979 Inhaltsverzeichnis: Interessante Links zu Emmy Noether Dokumentation zur Ausstellung Leben und Werk der Mathematikerin Emmy Noether Cordula Tollmien "Die Mutter der modernen Algebra" - Emmy Noether (1882-1935) Der vollständige Text! erschienen in: NTM - Schriftenreihe Geschichte der Naturwissenschaften, Technik, Medizin 28 (1990), S. 13 - 32 erschienen in: Frauenwelten. Biographisch-historische Skizzen aus Niedersachsen (hg. von Angela Dinghaus) Olms Verlag Hildesheim 1993, S. 268-283 erschienen in: Des Kennenlernens werth. (hg. von Traudel Weber-Reich Wallstein Verlag "Die Mutter der modernen Algebra" - das Leben der Mathematikerin Emmy Noether (1882 - 1935) erschienen in: Talheimer Verlag Zu Emmy Noether gibt es sehr viel interessante Seiten im Netz. Hier drei Beispiele: Literaturangaben zu Emmy Noether Luise Pusch Nina Byers (University of California) die Homepage des Emmy-Noether-Gymnasiums in Erlangen Diese Seite ohne Rahmen ansehen?

71. Dr. Cordula Tollmien Historikerin Emmy Noether Translate this page 1 emmy noether (1882-1935). Ich, Amalie emmy noether, bayrischer Staatsangehörigkeitund israelitischer Konfession, bin am 23. März http://www.cordula-tollmien.de/noether2.html

Cordula Tollmien "Die Mutter der modernen Algebra" Emmy Noether (1882-1935) Vortrag gehalten anläßlich der Eröffnung der Ausstellung "Leben und Werk der Mathematikerin Emmy Noether 1882-1935" an der TU Braunschweig am 24. Mai 2000 "Ich, Amalie Emmy Noether, bayrischer Staatsangehörigkeit und israelitischer Konfession, bin am 23. März 1882 zu Erlangen geboren, als Tochter des Kgl. Universitätsprofessors Dr. Max Noether und seiner Ehefrau Ida, geb. Kaufmann. Nach Ablegung der bayr. Prüfungen für Lehrerinnen der französischen und der englischen Sprache studierte ich 1900 bis 1902 als Hörerin an der Universität Erlangen, erwarb 1903 das Absolutorium des Kgl. Realgymnasiums Nürnberg, verbrachte das Wintersemester 1903/04 in Göttingen und war seit Herbst 1904 in Erlangen immatrikuliert." So beginnt der Lebenslauf, den Emmy Noether ihrer im Dezember 1907 von der Philosophischen Fakultät der Universität Erlangen angenommenen und mit "summa cum laude" bewerteten Dissertation beifügte. Am 10. Mai 1933, also ziemlich genau 25 Jahre später, schrieb Emmy Noether ihrem Freund und Mathematikerkollegen Helmuth Hasse in Marburg: "Die Sache selbst ist aber doch für mich sehr viel weniger schlimm als für sehr viele andere: rein äußerlich habe ich ein kleines Vermögen (ich hatte ja nie Pensionsberechtigung), sodaß ich erst einmal in Ruhe abwarten kann."

72. Anfahrt Emmy Noether Campus Translate this page UGH-SI, Kompakt. Wegweiser - emmy noether Campus. Mit Linie L111 ab HaardterBerg, über Weidenau Bf, über Siegen Bf bis emmy noether Campus. http://www.uni-siegen.de/wegweiser/emmyn.html

Kompakt Wegweiser - Emmy Noether Campus Adolf-Reichwein Paul-Bonatz Emmy Noether Campus Unteres Schloss Anbindung mit Bus und Bahn: Mit Linie L111 ab Haardter Berg Weidenau Bf Siegen Bf bis Emmy Noether Campus Ab Siegen Bf mit Linie L114 Richtung Fischbacher Berg, bis Haltestelle Emmy Noether Campus Anbindung mit dem Auto Ab HTS in Richtung Freudenberg fahren. Nach dem Tunnel nach links abbiegen, Dann an der 2. Ampel nach rechts in die Fischbacherbergstr. einbiegen, und der Ausschilderung zum Emmy Noether Campus (ENC) folgen. hilfe suche Webmaster-Team Haftungsausschluss Last modified: Monday, 14-Jan-2002 13:04:28 CET

73. No. 226: Emmy Noether No. 226 emmy noether by John H. Lienhard Click here for audio of Episode226. emmy noether could hardly have been anything but a mathematician. http://www.uh.edu/engines/epi226.htm

No. 226: EMMY NOETHER by John H. Lienhard Click here for audio of Episode 226. Today, we meet a gentle mathematical powerhouse. The University of Houston's College of Engineering presents this series about the machines that make our civilization run, and the people whose ingenuity created them. E mmy Noether could hardly have been anything but a mathematician. She was born in 1882 to a distinguished mathematics professor at Germany's University of Erlangen. He looked after the education of Emmy and her brother Fritz with great care and pride. But Emmy outreached expectation she made mathematical history. Emmy Noether was a gentle, low-key lady on fire only with the flights of her imagination. But she was Jewish, and she held a quietly stated, but deeply felt, belief in pacifism. Her days in Germany were clearly numbered. Her brother Fritz fled to a research institute in Siberia, and in 1933 she made it to Bryn Mawr University in the United States. For two years she taught at both Bryn Mawr and the Princeton Institute for Advanced Studies. Then, in 1935, she underwent an operation, seemed to be recovering nicely, and suddenly died. Her New York Times obituary included this by Einstein: In the realm of algebra ... which the most gifted mathematicians have [studied] for centuries, she discovered methods ... of enormous importance ...

74. Australian Mathematics Trust emmy noether (18821935). emmy noether is one of the most significant femalemathematicians in history. A Brief Insight into emmy noether's Work. http://www.amt.canberra.edu.au/noether.html

Emmy Noether (1882-1935) Emmy Noether is one of the most significant female mathematicians in history. She was born in the Bavarian town of Erlangen. Erlangen at the time had one of Germany's three "free" Universities (i.e. independent of the churches), the other two being at Halle and Göttingen. The Erlangen University had been cast into the mathematical spotlight by one of its mathematicians named Felix Klein, who had given significant insights into the concept of a group in geometry, insights which became known as the "Erlangen Program". Emmy Noether's father, Max Noether, was a mathematician at Erlangen. He was a significant mathematician in his own right and became a Full Professor at that University. Women were not officially allowed to study at German Universities, or to hold normal teaching positions. Nevertheless Emmy became known while enrolled as an audit student and was able eventually (in 1907) to graduate with a PhD summa cum laude at Erlangen under the supervision of Paul Gordan (whom David Hilbert had described as "King of the Invariants"). In 1915 she moved to Göttingen where she was given a licence to teach without being paid. Hilbert was in fact one of her colleagues there. Her most productive years were during the 1920s, when she produced a number of significant results. She is best known for her work in abstract algebra, particularly working with structures such as rings. She also did important work on the theory of invariants, which had an influence on the formulation of Einstein's general theory of relativity.

75. Biografía De Emmy Noether Translate this page emmy Amalie noether, Nacida el 23 Pero la discriminación en contrade emmy noether continuó, pero por otros motivos. En efecto, el http://www.astrocosmo.cl/biografi/b-e_noether.htm

Emmy Amalie Noether Nacida el 23 de marzo de 1882, en Erlangen, Bavaria, Alemania, Fallecida el 14 de abril de 1935, en Bryn Mawr, Pennsylvania, USA. Emmy Amalie Noether , era la mayor de cuatro hermanos y podría, con legitimidad, decirse que tenía una vocación innata para las matemáticas. Su padre Max era un distinguido profesor de matemáticas en la Universidad de Erlangen. Su madre Ida Kauffmann pertenecía a una rica familia de Colonia. Ambos padres de Emmy eran de origen judío. Se trataba de una familia que, de una manera u otra, compartieron intereses asimiles; dos de sus tres hermanos hombres fueron también científicos. Pero Emmy los sobrepasó a todos. Max, su padre, fue más conocido por los méritos de su hija que por los propios. Emmy Noether fue alumna en la escuela Höhere Töchter Schule en Erlangen a partir de 1889 hasta 1897. Allí estudió alemán, inglés, francés, aritmética y recibió lecciones de piano. Amaba el baile y le gustaba participar de las fiestas que organizaban los hijos de los colegas de la universidad de su padre. En esa etapa de su vida, sus aspiraciones se centraban en ser profesora de idiomas y después de estudiar inglés y francés rindió su examen final, recibiendo, en 1900, su certificado de profesora de inglés y francés para ejercer en las escuelas para señoritas del estado de Bavaria. Sin embargo, Emmy Noether nunca sintió que su real vocación era la de ser maestra de idiomas. Aspiraba a otra carrera. En consecuencia, decidió tomar, en aquella época, el difícil camino para una mujer de estudiar matemáticas en la universidad. Asiste como una de las dos mujeres alumnas oyentes entre miles de hombres en la Universidad de Erlangen. Entonces, en Alemania, las mujeres solamente eran aceptadas extraoficialmente en las universidades y debían solicitar permiso a cada profesor de cátedra para asistir a sus clases. En ese régimen de estudio estuvo en Erlangen desde 1900 a 1902. En 1903, después de rendir un examen de admisión en Nürnberg, va a la Universidad de Göttingen también en calidad de alumna oyente. En los años que estuvo en ese establecimiento universitario asiste a conferencias dadas por Blumenthal, Hilbert , Klein y Minkowski.

76. LookSmart - Emmy Noether noether, emmy Agnes Scott College Student essay highlights the determination andtalent displayed by the German mathematician who was denied a teaching post http://canada.looksmart.com/eus1/eus302562/eus317836/eus317914/eus328800/eus5187

77. Emmy emmy noether. 18821935. Background. noether, GE, 'emmy noether (1882-1935)',in Women of Mathematics A Biobibliographic Sourcebook , eds. http://www.roma.unisa.edu.au/07305/emmy.htm

78. Amalie ‘Emmy’ Noether Amalie ‘emmy’ noether. On December 13, 1907 emmy noether was awardedhighest honors for her virtuoso’s thesis, inspired by Gordan. http://www.sienahts.edu/~eklinge2/Noether(Biography).htm

Amalie ‘Emmy’ Noether On March 23, 1882 , Alda Amalie Noether gave birth to the first of her four children, a daughter, Amalie (Emmy) Noether. Emmy’s father, Max Noether, was a well known mathematician. The first of three generations of Noether mathematicians, Max was a professor at Erlangen , one of approximately 200 Jewish professors in Germany Some people, even friends, jokingly referred to Emmy as “der Noether” as “respectful recognition of her power as a creative thinker who seemed to have broken through the barrier of sex.”(McGrayne) She was utterly uninterested in appearances, and ignored all the feminine conventions of the day. She was overweight, enthusiastic, and opinionated. She was also loving, utterly unselfish and friendly. Despite not even studying math until she was 20 years old Emmy became such a great mathematician she was known as the female version of Albert Einstein ( Taylor Emmy had first studied to be a language instructor in a girl’s school. Instead of teaching Emmy decided to audit classes at Erlangen for foreign language and math.

79. Emmy Noether Kurzer Lebenslauf. 1882 emmy noether wird am 23. März in Erlangen geboren. http://www.math.uni-oldenburg.de/schnupperstudium/unser_logo/noether.html

Emmy Noether Kurzer Lebenslauf 1907 Promotion in Erlangen Okt. 1933 "Ubersiedlung in die USA, Gastprofessur am Frauencollege Bryn Mawr 14.04. 1935 Emmy Noether stirbt unerwartet an den Folgen einer Tumoroperation Der Text dieser Seite wurde von Dorothea Strauer zusammengestellt. Bildquelle: http://www.agnesscott.edu/lriddle/women/alpha.htm weitere Bilder finden Sie unter http://www-groups.cs.st-and.ac.uk/~history/PictDisplay/Noether_Emmy.html

80. A. Emmy Noether Amalie emmy noether(18821935) was born on March 23, 1882, in Erlangen,Germany, the oldest child. Her father, Max noether, a noted http://www.math.ukans.edu/~engheta/bio/noether.html

Amalie Emmy Noether (1882-1935) was born on March 23, 1882, in Erlangen, Germany, the oldest child. Her father, Max Noether, a noted mathematician himself, was a professor at the University of Erlangen. She studied mathematics and foreign languages at Erlangen from 1900 to 1902. summa cum laude . Her thesis was on algebraic invariants. In 1915, on Hilbert's Hilbert's name. She applied her invariant theoretic knowledge on problems considered by Hilbert and Klein. Hilbert Influenced by Hilbert's axiomatization of Euclidean geometry, Noether became interested in an abstract axiomatic approach to ring theory. Between 1922 and 1926, she published a series of papers focusing on "the general theory of ideals". In her paper "Abstract construction of ideal theory in the domain of algebraic number fields", published in 1926, she characterized rings in which every ideal is uniquely expressed as a product of prime ideals. This is analogous to Euclid's fundamental theorem of arithmetic. Two of the generalized structures she associated with ideals are the "group" and the "ring". She introduced the present-day definition of a ring in her paper, "Theory of ideals in a ring", published in 1921. She showed that the ascending chain condition is important to ideal theory. She introduced the concept of a primary ideal and proved that in a commutative ring satisfying the ascending chain condition, every ideal can be expressed as an intersection of primary ideals. In 1932, while working on non commutative rings in linear algebra with Richard Brauer and Helmut Hasse, she proved that every simple algebra over an ordinary algebraic number field is cyclic. From 1932 to 1934, she worked on non commutative algebras by means of cross products.

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