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For questions on modules over rings.

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Canonical module of a Buchsbaum ring

Is the canonical module of a Buchsbaum ring a Buchsbaum module?
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M is an R-module which is not finitely generated. is it true that $\inf \{ i| H^i_I(M)\neq 0...

This contradicts with the Grothendieck's vanishing theorem (This theorem, as stated in the Sharp and Brodmann's book, is not restricted to the category of finitely generated modules). …
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