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the annihilator of a homogeneous ideal is homogeneous

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#abstract-algebra #ring-theory #graded-rings
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Graded rings: coproduct vs tensor product

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#abstract-algebra #ring-theory #commutative-algebra #tensor-products #graded-rings
59
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Isomorphism of $S[t^2]$-modules

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#abstract-algebra #ring-theory #modules #graded-rings
697
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Tensor product of graded algebras 2

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#abstract-algebra #commutative-algebra #tensor-products #graded-rings
182
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The associated ring to a Gorenstein Artinian ring

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#abstract-algebra #ring-theory #commutative-algebra #homological-algebra #graded-rings
129
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Hilbert Polynomial of zero dimensional module

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#commutative-algebra #graded-rings #graded-modules #hilbert-polynomial
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A graded ring is Noetherian equivalence

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#abstract-algebra #ring-theory #noetherian #graded-rings
338
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Counterexample for Prime Avoidance Theorem - graded version

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#commutative-algebra #graded-rings
184
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Another counterexample for Prime Avoidance Theorem - graded version

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#commutative-algebra #graded-rings
56
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Counterexample for graded algebra

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#graded-rings
63
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Prime ideals of $R= \mathbb{Z}_{(2)}[x]/(2x)$

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#commutative-algebra #maximal-and-prime-ideals #graded-rings #krull-dimension
52
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Homogeneous ideals

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#commutative-algebra #ideals #graded-rings
672
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Is the zero ideal of a graded ring considered homogeneous?

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#ring-theory #graded-rings
121
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Filtrations of quasi-Hopf algebras

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#abstract-algebra #hopf-algebras #graded-rings #quantum-groups #filtrations
218
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Let R be a Z-graded ring. Prove that R is Noetherian if and only if R satisfies the ascending condition on homogeneous ideals.

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#ring-theory #commutative-algebra #graded-rings #graded-modules

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