Although she sometimes acted rudely toward those who disagreed with her, she nevertheless gained a reputation for constant helpfulness and patient guidance of new students. Often the first ring is a field. Unique factorizations do not always exist in other rings, but Noether found a unique factorization theorem, now called the Lasker—Noether theoremfor the ideals of many rings.

Noether spoke quickly — reflecting the speed of her thoughts, many said — and demanded great concentration from her students. When one of her students appeared in the uniform of the Nazi paramilitary organization Sturmabteilung SAshe showed no sign of agitation and, reportedly, even laughed about it later.

The word algebra means both a subject within mathematics as well as an object studied in the subject of algebra. He regained mobility, but one leg remained affected. In April doctors discovered a tumor in Noether's pelvis. He immediately began working with Noether, who provided invaluable methods of abstract conceptualization.

Words such as "element" and "combining operation" are very general, and can be applied to many real-world and abstract situations. She worked with the topologists, Lev Pontryagin and Nikolai Chebotaryovwho later praised her contributions to the development of Galois theory.

Noether was contacted by representatives of two educational institutions: Unlike most mathematicians, she did not make abstractions by generalizing from known examples; rather, she worked directly with the abstractions. She later spoke reverently of her "dissertation-mother".

She also worked closely with Wolfgang Krullwho greatly advanced commutative algebra with his Hauptidealsatz and his dimension theory for commutative rings. Theorems of abstract algebra are powerful because they are general; they govern many systems. Gordan retired from teaching altogether in when Schmidt's successor Ernst Fischer arrived; Gordan died a year later in December An important example is the fundamental theorem of arithmeticwhich says that every positive integer can be factored uniquely into prime numbers.

She solved immediately, but the riddle has been lost. A module is a ring-theoretic version of a group representation: Although many of her former colleagues had been forced out of the universities, she was able to use the library as a "foreign scholar".

A module consists of a choice of ring, another set, usually distinct from the underlying set of the ring and called the underlying set of the module, an operation on pairs of elements of the underlying set of the module, and an operation which takes an element of the ring and an element of the module and returns an element of the module.

Her oral examination was held in late May, and she successfully delivered her habilitation lecture in June Words such as "element" and "combining operation" are very general, and can be applied to many real-world and abstract situations.

Noether and Fischer shared lively enjoyment of mathematics and would often discuss lectures long after they were over; Noether is known to have sent postcards to Fischer continuing her train of mathematical thoughts.

This approach to invariants was later superseded by the more abstract and general approach pioneered by Hilbert. Noted algebraist Irving Kaplansky called this work "revolutionary"; [41] the publication gave rise to the term " Noetherian ring " and the naming of several other mathematical objects as Noetherian.

He began referring to her as der Noether, using the masculine German article as a term of endearment to show his respect. Although it recognized the importance of her work, the position still provided no salary. She had previously received medical care for an eye condition, but its nature and impact on her death is unknown.

This is a type of symmetry of space, because space itself does not change when it is rotated even though the positions of objects in it do.

Although Noether did not seek recognition, he included as a note in the seventh edition "based in part on lectures by E. This operation makes the second ring into a module over the first. For three days she appeared to convalesce normally, and she recovered quickly from a circulatory collapse on the fourth.

When World War I ended, the German Revolution of — brought a significant change in social attitudes, including more rights for women. The youngest, Gustav Robert, was born in An important special case of this is an algebra.

Her oral examination was held in late May, and she successfully delivered her habilitation lecture in June Mathematicians of previous centuries had worked on practical methods for solving specific types of equations, e. A group consists of a set of elements and a single operation which combines a first and a second element and returns a third.

From to Russian topologist Pavel Alexandrov lectured at the university, and he and Noether quickly became good friends.Port Manteaux churns out silly new words when you feed it an idea or two.

Enter a word (or two) above and you'll get back a bunch of portmanteaux created by jamming together words that are conceptually related to your inputs. For example, enter "giraffe" and you'll get back words like "gazellephant" and "gorilldebeest". is and in to a was not you i of it the be he his but for are this that by on at they with which she or from had we will have an what been one if would who has her.

Port Manteaux churns out silly new words when you feed it an idea or two. Enter a word (or two) above and you'll get back a bunch of portmanteaux created by jamming together words that are conceptually related to your inputs. For example, enter "giraffe" and you'll get.

Amalie Emmy Noether (German: ; 23 March – 14 April ) was a German mathematician who made important contributions to abstract algebra and theoretical physics. She invariably used the name "Emmy Noether" in her life and publications.

She was described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl. Amalie Emmy Noether (German: ; 23 March – 14 April ) was a German mathematician who made important contributions to abstract algebra and theoretical physics.

She invariably used the name "Emmy Noether" in her life and publications. She was described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl and Norbert Wiener as the most important woman in the history of. is and in to a was not you i of it the be he his but for are this that by on at they with which she or from had we will have an what been one if would who has her.

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