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$k[[x,y]]/I$ is a Gorenstein ring implies that $I$ is generated by 2 elements

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#commutative-algebra #gorenstein #regular-rings
552
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Characterisation of Gorenstein Curve

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#algebraic-geometry #algebraic-curves #gorenstein
198
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Example of Gorenstein ring that has infinite Krull dimension?

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#commutative-algebra #homological-algebra #krull-dimension #gorenstein
148
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If $R$ is generically Gorenstein, then $\operatorname{Ann}(\operatorname{Ann}(I))=I$ for every ideal $I$ with non-zero annihilator?

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#commutative-algebra #homological-algebra #local-rings #gorenstein
62
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On possible closure operation induced by derived functors

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#commutative-algebra #homological-algebra #derived-functors #cohen-macaulay #gorenstein
293
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Note or book on Examples of regular, Gorenstein, Cohen Macaulay, ... rings

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#algebraic-geometry #reference-request #commutative-algebra #gorenstein #cohen-macaulay
882
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What is a hypersurface ring and why is it Gorenstein?

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#algebraic-geometry #commutative-algebra #gorenstein #cohen-macaulay
339
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Tor functor for the quotient of a Gorenstein local ring

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#commutative-algebra #gorenstein
387
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Gorenstein, complete intersection

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#commutative-algebra #cohen-macaulay #gorenstein
276
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Localization of Gorenstein ring

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#commutative-algebra #homological-algebra #injective-module #gorenstein
572
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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
748
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Examples of Noetherian local rings which are not Gorenstein

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#commutative-algebra #homological-algebra #noetherian #injective-module #gorenstein
136
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Gorenstein ring and projective module

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#commutative-algebra #modules #projective-module #gorenstein
444
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Example of Gorenstein local ring of dimension 1

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#commutative-algebra #gorenstein
587
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Zero dimensional Gorenstein ring

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#ring-theory #commutative-algebra #homological-algebra #gorenstein

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