Homological flat dimensions

作者: Parviz Sahandi , Siamak Yassemi , Tirdad Sharif

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

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