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2 votes
1 answer
196 views

Localization of quasi-excellent rings are quasi-excellent?

I think Matsumura's commutative ring theory book says that localization of Excellent rings are again Excellent, but I do not know about quasi-excellence ... …
1 vote
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Localization of totally acyclic complex or projective modules remain totally acyclic?

Let $R$ be a commutative Noetherian ring. An acyclic complex $P$ of projective $R$-modules is called totally acyclic if for every projective $R$-module $Q$, the complex Hom$_R(P, Q)$ is also acyclic. …