Emmy Noether

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Amalie Emmy Noether[1] (German: [ˈnøːtɐ]; 23 March 1882 – 14 April 1935)
was a German mathematician known for her landmark contributions to abstract algebra
and theoretical physics.
She invariably used the name "Emmy Noether" in her life and publications.[1]

She was described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl,
and Norbert Wiener as the most important woman in the history of mathematics.[2][3]

As one of the leading mathematicians of her time, she developed the theories of rings,
fields, and algebras.
In physics, Noether's theorem explains the connection between symmetry and
conservation laws.[4]

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In mathematics, the adjective Noetherian is used to describe objects that
satisfy an ascending or descending chain condition on certain kinds of subobjects,
meaning that certain ascending or descending sequences of subobjects must have finite length.

Noetherian objects are named after Emmy Noether, who was the first to study
the ascending and descending chain conditions for rings.

in particular,
Noetherian group, a group that satisfies the ascending chain condition on subgroups
Noetherian ring, a ring that satisfies the ascending chain condition on ideals.
Noetherian module, a module that satisfies the ascending chain condition on submodules.

More generally, an object in a category is said to be Noetherian if there is
no infinitely increasing filtration of it by subobjects.
A category is Noetherian if every object in it is Noetherian.

Noetherian relation, a binary relation that satisfies the ascending chain condition
on its elements.

Noetherian topological space, a topological space that satisfies
the descending chain condition on closed sets.

Noetherian induction, also called well-founded induction,
a proof method for binary relations that satisfy the descending chain condition.

Noetherian rewriting system, an abstract rewriting system that has no infinite chains

Noetherian scheme, a scheme in algebraic geometry that admits a finite covering
by open spectra of Noetherian rings

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Celebrate the mathematics of Emmy Noether

Emmy Noether was a force in mathematics - and knew it.
She was fully confident in her capabilities and ideas.

Yet a century on, those ideas, and their contribution to science, often go unnoticed.

Most physicists are aware of her fundamental theorem,
which puts symmetry at the heart of physical law.

But how many know anything of her and her life?