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15
Math.TechQA.Club
2021-05-20 14:57:47
131
Views
equality of support of a module and its quotient
Published on
20 May 2021 - 14:57
#commutative-algebra
#maximal-and-prime-ideals
#krull-dimension
#cohen-macaulay
130
Views
Analytically unramified local ring of dimension $1$ always admit canonical module?
Published on
25 Mar 2026 - 9:16
#commutative-algebra
#homological-algebra
#cohen-macaulay
#formal-completions
#gorenstein
53
Views
What are the prerequisites to study Cohen-Macaulay?
Published on
13 Jun 2021 - 17:17
#abstract-algebra
#ring-theory
#commutative-algebra
#cohen-macaulay
219
Views
Example of non-reduced Noetherian dimension 1 Cohen-Macaulay ring.
Published on
14 Jun 2021 - 0:17
#abstract-algebra
#algebraic-geometry
#commutative-algebra
#noetherian
#cohen-macaulay
310
Views
Completion (as a module) of the integral closure of a Cohen-Macaulay local ring whose completion is reduced
Published on
25 Mar 2026 - 11:06
#commutative-algebra
#tensor-products
#cohen-macaulay
#formal-completions
#regular-rings
219
Views
Maximal Cohen-Macaulay modules of full support, over non-artinian local Cohen-Macaulay rings, are faithful?
Published on
26 Aug 2021 - 6:52
#commutative-algebra
#homological-algebra
#localization
#local-rings
#cohen-macaulay
76
Views
Partial order on the set of non-split short exact sequences ending at a MCM module
Published on
29 Aug 2021 - 15:52
#abstract-algebra
#commutative-algebra
#homological-algebra
#cohen-macaulay
139
Views
Bruns & Herzog 1.4.9: Rank of projective modules
Published on
15 Sep 2021 - 4:34
#commutative-algebra
#modules
#projective-module
#cohen-macaulay
94
Views
Does the torsion submodule and the $0$-th local Cohomology module coincide over local Cohen-Macaulay ring?
Published on
25 Mar 2026 - 12:41
#commutative-algebra
#homological-algebra
#local-rings
#cohen-macaulay
#local-cohomology
101
Views
Complete local Cohen-Macaulay ring of dimension $1$ whose type equals $1$ less than embedding dimension
Published on
25 Mar 2026 - 9:16
#commutative-algebra
#homological-algebra
#cohen-macaulay
#hilbert-polynomial
#gorenstein
118
Views
Is $M\otimes E(R/m)$ an indecomposable module?
Published on
25 Mar 2026 - 9:14
#commutative-algebra
#tensor-products
#cohen-macaulay
#gorenstein
68
Views
When $R/\operatorname{Ann}_R(M)$ is a Cohen-Macaulay ring?
Published on
19 Nov 2021 - 20:12
#commutative-algebra
#krull-dimension
#cohen-macaulay
79
Views
For complete local domain of dimension $1$, when does vanishing of $\text{Ext}^1_R(\omega_R, R)$ forces $R$ to be Gorenstein?
Published on
25 Mar 2026 - 10:58
#commutative-algebra
#homological-algebra
#cohen-macaulay
#gorenstein
57
Views
Is $(\omega:_{Q(R)}\omega)=R$ for a canonical ideal $\omega$ of a one-dimensional local Cohen-Macaulay ring?
Published on
22 Nov 2021 - 11:58
#commutative-algebra
#homological-algebra
#cohen-macaulay
63
Views
On the submodule $(0:_Ma)$ of a non Cohen-Macaulay module $M$
Published on
23 Nov 2021 - 8:46
#commutative-algebra
#cohen-macaulay
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