Emmy Noether Contributions To Abstract Algebra

Emmy noether in full amalie emmy noether born march 23 1882 erlangen germanydied april 14 1935 bryn mawr pennsylvania us german mathematician whose innovations in higher algebra gained her recognition as the most creative abstract algebraist of modern times. 23 march 1882 14 april 1935 was a german mathematician who made important contributions to abstract algebra and theoretical physics. Emmy noether 1882 1935 was a german mathematician who helped to expand the study of abstract algebra in the early twentieth century.

Her work on differential invariants in the calculus of variations noethers theorem has been called one of the most important mathematical theorems ever proved in guiding the development of modern physics.

Emmy noether contributions to abstract algebra. During the 1920s noether did foundational work on abstract algebra working in group theory ring theory group representations and number theory. She invariably used the name emmy noether in her life and publications. The new discoveries and developments in theoretical physics and abstract algebra were credited to her. Amalie emmy noether german.

Emmy noether 1882 1935 biography mactutor history of mathematics emmy noether is best known for her contributions to abstract algebra in particular her study of chain conditions on ideals of rings. She published a lot of papers during her research years at erlangen but she was given no salary nor was she ever raised to the ranks of a professor her family paid for her room at the university. Her mathematics would be very useful for physicists and crystallographers but it was controversial then. Emmy noether was a pre eminent twentieth century german mathematician.

Great mathematicians who came after her regarded her very highly including albert einstein hermann weyl and pavel alexandrov. The core of the discipline is to examine the structure of mathematics and reduce it to its most abstract form. Noether went into research and more or less inventedthe field of abstract algebra. In this lesson learn about her struggles to become a.

In the first 190819 she made contributions to the theories of algebraic invariants and number fields. Noethers mathematical work has been divided into three epochs. After noether got her phd she worked a lot with abstract algebra some even claim that she invented the field of abstract algebra.