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Matsumura, Exercise 18.8: Cohen-Macaulay and (not) Gorenstein

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#ring-theory #commutative-algebra #formal-power-series #cohen-macaulay #gorenstein
324
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Sufficient conditions for quotient ring to be Cohen-Macaulay

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#ring-theory #commutative-algebra #modules #noetherian #cohen-macaulay
247
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Direct product of Cohen-Macaulay rings/Eisenbud, Exercise 18.6

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#ring-theory #commutative-algebra #modules #cohen-macaulay
655
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$2$-dimensional Noetherian integrally closed domains are Cohen-Macaulay

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#ring-theory #commutative-algebra #noetherian #integral-domain #cohen-macaulay
166
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Rings which are finitely generated and free over Cohen-Macaulay rings are also Cohen-Macaulay

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#ring-theory #commutative-algebra #cohen-macaulay
102
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Common equivalent conditions for Cohen-Macaulayness of a ring

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#commutative-algebra #cohen-macaulay
776
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A quotient of a Cohen-Macaulay ring

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#commutative-algebra #cohen-macaulay
129
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Is $R[X]/(f)$ Cohen-Macaulay if $R$ is so?

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#commutative-algebra #modules #noetherian #cohen-macaulay
164
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Another non-regular C-M ring

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#commutative-algebra #cohen-macaulay
237
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2-dimensional Cohen-Macaulay domain

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#commutative-algebra #examples-counterexamples #cohen-macaulay
283
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Cohen-Macaulay and regular rings

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#ring-theory #commutative-algebra #krull-dimension #cohen-macaulay
564
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Bruns-Herzog, Cohen-Macaulay Rings, Exercise 6.4.17 (b)

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#commutative-algebra #maximal-and-prime-ideals #cohen-macaulay
189
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Matsumura Example 2 (16.E)

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#commutative-algebra #cohen-macaulay
248
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Cohen-Macaulay ring and module: R-regular vs M-regular

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#commutative-algebra #cohen-macaulay
310
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Castelnuovo-Mumford regularity of a Veronese subring

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#algebraic-geometry #commutative-algebra #cohen-macaulay

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