Quasi-Gorenstein projective and quasi-Gorenstein injective modules

Publication Name

International Journal of Mathematics

Abstract

In this paper, we introduce quasi-Gorenstein projective and quasi-Gorenstein injective modules, study some of their properties and investigate their behavior with respect to short exact sequences. Also, we give homological descriptions of quasi-Gorenstein homological dimensions of modules when they are finite and in this case, we prove that quasi-Gorenstein projective precover and quasi-Gorenstein injective preenvelope exist.

Open Access Status

This publication is not available as open access

Volume

33

Issue

13

Article Number

2250086

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Link to publisher version (DOI)

http://dx.doi.org/10.1142/S0129167X22500860