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- W2271658081 abstract "Let $R$ be a Noetherian ring and let $C$ be a semidualizing $R$-module. In this paper, by using the classes $ mathcal{P}_C $ and $ mathcal{I}_C $, we extend the notions of perfect and coperfect modules introduced by D.Rees cite{R} and O.Jenda cite{J1}. First, we study the basic properties of these modules and relations between them. Next, we characterize local rings in terms of the existence of special perfect (resp. coperfect) modules." @default.
- W2271658081 created "2016-06-24" @default.
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- W2271658081 date "2015-10-07" @default.
- W2271658081 modified "2023-09-26" @default.
- W2271658081 title "Characterizing local rings via perfect and coperfect modules" @default.
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- W2271658081 doi "https://doi.org/10.48550/arxiv.1510.01845" @default.
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