$C$-CANONICAL MODULES

Authors : Mohammad BAGHERI, Abdoljavad TAHERIZADEH
Pages : 243-259
Doi:10.24330/ieja.969917
View : 17 | Download : 14
Publication Date : 2021-07-17
Article Type : Research Paper
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.
Keywords : Semidualizing modules, dualizing modules, local cohomology, Auslander class, Bass class

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