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Annihilators of powers of the maximal ideal in an Artinian Gorenstein ring

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#abstract-algebra #ring-theory #commutative-algebra #gorenstein #artinian
485
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Decomposition to indecomposable projective $A-$modules

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#projective-module #artinian
674
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Is any Finitely generated module over an Artinian ring , Noetherian?

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#abstract-algebra #ring-theory #modules #noetherian #artinian
51
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Decomposing $\mathbb{F}_p[G]$ ($G$ finite) into products of matrix rings over fields

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#finite-fields #group-rings #division-algebras #artinian #semi-simple-rings
646
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Rings in which every ideal contains a minimal ideal

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#algebraic-geometry #ring-theory #commutative-algebra #ideals #artinian
280
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Noetherian, Artinian on graded ring and localization

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#commutative-algebra #noetherian #graded-rings #artinian
120
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$M_p$ is artinian for all primes p, then M is artinian

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#commutative-algebra #modules #noetherian #artinian
261
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Example of a ring such that it is local with nilpotent nilradical but not Artinian

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#commutative-algebra #local-rings #artinian
487
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Socle degree of Artinian ring

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#commutative-algebra #ideals #artinian #socle
695
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Subrings of semisimple rings

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#abstract-algebra #ring-theory #artinian
65
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Are the following rings Artinian?

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#abstract-algebra #matrices #ring-theory #artinian
41
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Is a periodic group of automorphisms of an artinian locally nilpotent group (group satisfying min condition on subgroups) artinian?

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#group-theory #artinian
182
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Noetherian/Artinian modules

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#abstract-algebra #modules #noetherian #artinian
490
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Artinian ring is Noetherian

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#ring-theory #alternative-proof #noetherian #artinian
1.2k
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Difference between Artinian and Noetherian rings

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#abstract-algebra #ring-theory #ideals #noetherian #artinian

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