Homological flat dimensions

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For finitely generated module $M$ over a local ring $R$, the conventional notions of complete intersection dimension $\cid_R M$ and Cohen-Macaulay dimension $\cmdim_R M$ do not extend to cover the case of infinitely generated modules. In this paper we introduce similar invariants for not necessarily finitely generated modules, (namely, complete intersection flat and Cohen-Macaulay flat dimensions) which for finitely generated modules, coincide with the corresponding classical ones.
24pages

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Commutative Algebra, 13D05

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http://salesiana.dossiersoluciones.com/handle/123456789/153916

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.4078
 http://arxiv.org/abs/0709.4078

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arXiv