LYCOS RETRIEVER 
Emmy Noether: Work
built 617 days ago
Much of the work Emmy Noether concerned the theory of rings. In particular Noether was able to develop a decomposition theory for ideals that was applicable to rings. This was more general than the rings of integers in algebraic number fields. These rings are called Noetherian Rings, communative rings with identity which satisfy the ascending chain condition, that every chain of ideals in the ring such that breaks off after a finite number of terms. Emmy was able to characterize those rings R for which the entire Dedekind theory of prime factorization of ideals holds by a set of axioms :
Source:
Emmy Noether (1882-1935) is known for her work in abstract algebra and algebraic geometry. She studied the invariants of biquadratic forms, rings with finite bases, and the theory of ideals. Rings and modules that satisfy the ascending chain condition are now called "Noetherian" in her honor.
Source:
In addition to research and teaching, Noether helped edit the Mathematische Annalen. From 1930 to 1933 she was the centre of the strongest mathematical activity at Göttingen. The extent and significance of her work cannot be accurately judged from her papers. Much of her work appeared in the publications of students and colleagues; many times a suggestion or even a casual remark revealed her great insight and stimulated another to complete and perfect some idea.
Source:
MORE ABOUT
Work