rings & algebra

Woman Mathematician part N

Amalie Emmy Noether – known for her groundbreaking contributions to abstract algebra and theoretical physics. Described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl, Norbert Wiener and others as the most important woman in the history of mathematics, she revolutionized the theories of rings, fields, and algebras.

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Algebra. Algebra is the deep study of operations like multiplication, which turn two objects into a single object. This proof lies in the area of ring theory, which is concerned with the interaction of two such operations whose interaction is analogous to that of addition and multiplication. However, the “addition” and “multiplication” operations themselves are allowed to be rather exotic. For instance, this proof discusses a basic property of the “nilradical”. This is the set of nonzero elements, which have the counterintuitive property that, when multiplied by themself enough times, they give an answer of zero!

Emmy Noether (official name Amalie Emmy Noether; 23 March 1882 – 14 April 1935), was an influential German mathematician known for her groundbreaking contributions to abstract algebra and theoretical physics. Described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl, Norbert Wiener and others as the most important woman in the history of mathematics, she revolutionized the theories of rings, fields, and algebras. In physics, Noether’s theorem explains the fundamental connection between symmetry and conservation laws.