Emmy Noether

Emmy Noether (March 23 1882 – April 14 1935) was one of the most talented mathematicians of the early 20th century, with penetrating insights that she used to develop elegant abstractions which she formalized beautifully.

Work

She made very significant contributions to mathematics and theoretical physics. In mathematics, she worked on the theory of invariants and non-commutative algebras. In physics, she arrived at a very crucial and beautiful result known as Noether's theorem, which translated statements of invariance with respect to generalized transformations of physical systems, called symmetries by physicists, into conservation laws. The results of Noether's theorem are part of the fundamentals of modern physics, which is substantially based on the properties of symmetries.

Related Topics:
Physics - Theory of invariants - Non-commutative algebras - Noether's theorem - Invariance - Symmetries - Conservation laws

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In 1921, Noether introduced the ascending chain condition for ideals in a commutative ring, and proved the existence of primary decompositions for such rings (a result known as the Lasker-Noether theorem). Rings satisfying the ascending chain condition on ideals are now known as Noetherian rings.

Related Topics:
1921 - Ascending chain condition - Ideal - Commutative ring - Lasker-Noether theorem - Noetherian ring

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