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Localization of Cohen-Macaulay module of finite projective dimension at non-maximal prime ideal

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#commutative-algebra #homological-algebra #free-modules #cohen-macaulay #gorenstein
218
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Associated primes and Cohen-Macaulay rings

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#commutative-algebra #cohen-macaulay
157
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Proposition 3.6 of Yoshino's book--Characterization of maximal Cohen-Macaulay modules

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#commutative-algebra #homological-algebra #cohen-macaulay
190
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Maximal regular sequence coincides with system of parameters

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#commutative-algebra #ideals #cohen-macaulay #regular-rings
74
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Question about grade of an ideal

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#polynomials #commutative-algebra #cohen-macaulay
214
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Example that M* is not reflexive

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#linear-algebra #abstract-algebra #commutative-algebra #homological-algebra #cohen-macaulay
51
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Maximal Cohen-Macaulay of finite flat dimension

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#commutative-algebra #homological-algebra #cohen-macaulay
99
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Tensor product of maximal Cohen-Macaulay modules

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#commutative-algebra #cohen-macaulay
77
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grade and minimal generator of ideal and zero-divisor

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#commutative-algebra #cohen-macaulay
46
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Grade and projdim of finite modules

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#commutative-algebra #modules #cohen-macaulay
88
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Ext and Krull dimension

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#commutative-algebra #homology-cohomology #homological-algebra #cohen-macaulay
216
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If $R/I$ is Cohen-Macaulay, is $R/I^2$ also Cohen-Macaulay?

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#commutative-algebra #modules #cohen-macaulay
175
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Regulare sequences and tensor product of modules

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#commutative-algebra #tensor-products #cohen-macaulay
36
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finitely generated contracted ideal

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#commutative-algebra #homology-cohomology #cohen-macaulay
83
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How small can $\dim(R/P)+\text{ht}(P)$ be?

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#reference-request #commutative-algebra #soft-question #krull-dimension #cohen-macaulay

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