Dergiler / International Electronic Journal of Algebra / 2021 / Cilt: 30 - Sayı: 30

$C$-CANONICAL MODULES

Mohammad BAGHERI, Abdol-javad TAHERIZADEH

Sayfa
243–259
DOI
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Abstract

Let $C$ be a semidualizing module over a commutative Noetherian local ring $R$. In this paper we introduce a new class of modules, namely $C$-canonical modules which are a generalization of canonical modules. It is shown that if the canonical module exists then the $C$-canonical module exists and the converse holds under special conditions. Also, a new characterization of Gorenstein local rings is given via $C$-canonical modules.

$C$-CANONICAL MODULES — AJindex