List questions from graded-algebras

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About the structure of a Hopf algebra on universal enveloping algebras of Lie algebras

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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?

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Defining a grading on the algebra of a magma

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Graded algebras and symbols

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Difference between the graded symmetric algebra and the exterior algebra

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$Z_2$ action yields decomposition into a direct sum

Published on 06 May 2022 - 9:20

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Definition of a Graded Algebra and $R_0$

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Dimension one graded algebra $R$ is a domain then $l(R_n)\leq 1$ for all $n$.

Published on 01 Aug 2022 - 19:31

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Algebra is noetherian if associated graded algebra is noetherian

Published on 15 Nov 2022 - 11:26

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Rees algebra is finitely generated if associated graded algebra is

Published on 15 Nov 2022 - 13:25

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A $k$-linear graded automorphism of $A$ is not necessarily an automorphism of algebra.

Published on 29 Nov 2022 - 20:20

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A basic question about the big bracket and Lie algebra

Published on 08 Dec 2022 - 10:24

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Sheaf of graded algebras

Published on 18 Jan 2023 - 20:01

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Poincare series of a graded algebra

Published on 26 Jan 2023 - 6:16

List Question

Ideals in localisation of graded ring

About the structure of a Hopf algebra on universal enveloping algebras of Lie algebras

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?

Defining a grading on the algebra of a magma

Graded algebras and symbols

Difference between the graded symmetric algebra and the exterior algebra

$Z_2$ action yields decomposition into a direct sum

Definition of a Graded Algebra and $R_0$

Dimension one graded algebra $R$ is a domain then $l(R_n)\leq 1$ for all $n$.

Algebra is noetherian if associated graded algebra is noetherian

Rees algebra is finitely generated if associated graded algebra is

A $k$-linear graded automorphism of $A$ is not necessarily an automorphism of algebra.

A basic question about the big bracket and Lie algebra

Sheaf of graded algebras

Poincare series of a graded algebra

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