List questions from graded-modules

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Projective Resolution of exterior algebra as a module over divided polynomial algebra

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42

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Prove that a finitely generated $\mathbb F_p[t]$-module is a free $\mathbb F_p[t]$-module.

Published on 02 Apr 2019 - 18:15

170

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Hilbert Syzygy Theorem for non-graded modules

Published on 12 Apr 2019 - 7:33

139

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$X \in \sqrt{{\rm Ann\,( gr\,} M)} \iff \exists m \in \mathbb{N} \text{ such that } \forall j \in \mathbb{Z} ,\; x^mM_j \subset M_{j + mn - 1}$

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What is meaning of even (odd) operator?

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186

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"Grading" of module in $H^*$mod

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101

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Do we have $\mathcal O_X(1)(X)=S_1$?

Published on 22 Mar 2026 - 14:19

198

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Do we have $\mathit\Gamma_*(\mathcal O_X)\cong S$?

Published on 22 Jun 2019 - 18:31

302

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Two definitions of graded modules, are they equivalent?

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229

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Vector spaces and graded vector spaces

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521

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Proof of the Structure theorem of finitely generated graded modules over graded PID's

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Grading on the tensor product of graded modules over a non-graded ring

Published on 28 Aug 2019 - 17:13

619

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Tensor product commutes with associated graded

Published on 22 Mar 2026 - 16:54

List Question

For which algebra $A$: $\mathrm{vect} \cong A-$mod

Projective Resolution of exterior algebra as a module over divided polynomial algebra

Prove that a finitely generated $\mathbb F_p[t]$-module is a free $\mathbb F_p[t]$-module.

Hilbert Syzygy Theorem for non-graded modules

$X \in \sqrt{{\rm Ann\,( gr\,} M)} \iff \exists m \in \mathbb{N} \text{ such that } \forall j \in \mathbb{Z} ,\; x^mM_j \subset M_{j + mn - 1}$

What is meaning of even (odd) operator?

"Grading" of module in $H^*$mod

Do we have $\mathcal O_X(1)(X)=S_1$?

Do we have $\mathit\Gamma_*(\mathcal O_X)\cong S$?

Two definitions of graded modules, are they equivalent?

Vector spaces and graded vector spaces

Exterior algebra over graded space

Proof of the Structure theorem of finitely generated graded modules over graded PID's

Grading on the tensor product of graded modules over a non-graded ring

Tensor product commutes with associated graded

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