List questions from graded-rings

Published on 25 May 2021 - 10:22

154

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Ideals in localisation of graded ring

Published on 25 Mar 2026 - 17:37

40

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Do we have $A_{(\mathfrak{p})} \simeq (A_{(f)})_{\mathfrak{q}}$?

Published on 10 Jun 2021 - 21:30

498

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How is the quotient of a graded ring itself graded?

Published on 22 Jun 2021 - 8:36

85

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Which graded commutative $R$-algebras occur as cup product algebras $H^\ast(X;R)$ of spaces $X$?

Published on 23 Feb 2026 - 3:01

53

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Elements of degree $0$ form a subring of a graded ring

Published on 04 Jul 2021 - 19:22

69

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How to construct a grading on a quotient module

Published on 26 Mar 2026 - 17:28

120

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Image of a graded linear map is graded

Published on 26 Mar 2026 - 17:31

33

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Defining a grading on the generalized tensor product

Published on 26 Mar 2026 - 17:30

36

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$\text{Homgr}_A(M,N)=\text{Hom}_A(M,N)$ if $M$ is finitely generated

Published on 26 Mar 2026 - 17:32

121

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Let $S$ be a $\mathbb Z^{\ge 0}$-graded ring over $A$. If $S_+$ is finitely generated, then $S$ is a finitely generated graded $A$-algebra?

Published on 25 Mar 2026 - 14:24

64

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Let $\mathfrak p, \mathfrak p' ⊂ S$ be relevant prime ideals. If $\mathfrak p \cap S_+ = \mathfrak p' \cap S_+$, then $\mathfrak p = \mathfrak p'$.

Published on 19 Sep 2021 - 20:52

155

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Question about lengths in graded rings

Published on 26 Mar 2026 - 2:41

134

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Homogeneous non zero divisor in a graded module.

Published on 26 Mar 2026 - 17:30

223

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Confusion on the direct sum of abelian groups and the definition of graded ring.

Published on 21 Jan 2022 - 19:08

List Question

Koszul algebra and Hilbert series

Ideals in localisation of graded ring

Do we have $A_{(\mathfrak{p})} \simeq (A_{(f)})_{\mathfrak{q}}$?

How is the quotient of a graded ring itself graded?

Which graded commutative $R$-algebras occur as cup product algebras $H^\ast(X;R)$ of spaces $X$?

Elements of degree $0$ form a subring of a graded ring

How to construct a grading on a quotient module

Image of a graded linear map is graded

Defining a grading on the generalized tensor product

$\text{Homgr}_A(M,N)=\text{Hom}_A(M,N)$ if $M$ is finitely generated

Let $S$ be a $\mathbb Z^{\ge 0}$-graded ring over $A$. If $S_+$ is finitely generated, then $S$ is a finitely generated graded $A$-algebra?

Let $\mathfrak p, \mathfrak p' ⊂ S$ be relevant prime ideals. If $\mathfrak p \cap S_+ = \mathfrak p' \cap S_+$, then $\mathfrak p = \mathfrak p'$.

Question about lengths in graded rings

Homogeneous non zero divisor in a graded module.

Confusion on the direct sum of abelian groups and the definition of graded ring.

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