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Noether's Theorem
    
Noetherian ring - Wikipedia, the free encyclopedia
In abstract algebra, a Noetherian ring , named after Emmy Noether, is a ring that satisfies the ascending chain condition on ideals. Explicitly this means: given an increasing sequence of ideals the...
en.wikipedia.org/wiki/Noetherian_ring
Named in honor of Emmy Noether, the Noetherian Ring is an organization of graduate students, postdocs, and professors in the Mathematics Department at the University of California, Berkeley who happen to be women.
math.berkeley.edu/~nring/ math.berkeley.edu/~nring/
Graduate Fellowship Programs ... (an online guide brought to you by the Noetherian Ring) ... Click on the links to find their webpages, or click on "Additional Information" for a brief description of the award and eligibility requirements as well as some tips for your application from Berkeley graduate students who have held...
math.berkeley.edu/~nring/Fellowship/fellowships.html math.berkeley.edu/~nring/Fellowship/fellowships.html
A ring $R$ is right noetherian if it is a right noetherian module, considered as a right module over itself in the natural way (that is, an element $r$ acts by $x\mapsto xr$ ). Similarly, $R$ is left noetherian if it is a left noetherian module over itself (equivalently, if the opposite ring of $R$ is right noetherian).
planetmath.org/encyclopedia/Noetherian.html planetmath.org/encyclopedia/Noetherian.html
A ring is called left (respectively, right) Noetherian if it does not contain an infinite ascending chain of left (respectively, right) ideals. ...
mathworld.wolfram.com/NoetherianRing.html mathworld.wolfram.com/NoetherianRing.html
Welcome to the Noetherian Ring of Princeton University. ... We are an organization of female mathematicians at Princeton of all levels (undergraduates, graduate students, postdocs, junior and senior faculty). We offer opportunities for female mathematicians to interact with one another in many different forums,
www.math.princeton.edu/noetherian/ www.math.princeton.edu/noetherian/
Noetherian Ring Rings Ideals Left Field Ascending Ideal Chain Economy. ... In abstract algebra, a Noetherian ring is a ring that satisfies the ascending chain condition on ideals.
www.economicexpert.com/a/Noetherian:ring.htm www.economicexpert.com/a/Noetherian:ring.htm
It is said to be left or right Noetherian according as this holds for left or right ideals. The integers form a Noetherian ring which is not an Artinian ...
www.mathresources.com/products/mathresource/maa/noether... www.mathresources.com/products/mathresource/maa/noetherian_ring.html
A dual condition is artinian: an artinian ring is a ring satisfying the descending chain condition on ideals. The symmetry is severely broken if one considers unital rings: for example every unital artinian ring is noetherian;
ncatlab.org/nlab/show/noetherian+ring ncatlab.org/nlab/show/noetherian+ring
In [5] an example is given of a simple Noetherian ring with divisors of zero ... Noetherian rings are Morita equivalent to domains, thus answering [1, ...
www.jstor.org/stable/2041762