Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2021; 58(4): 939-958

Online first article June 29, 2021      Printed July 31, 2021

https://doi.org/10.4134/BKMS.b200673

Copyright © The Korean Mathematical Society.

Strongly Gorenstein $C$-homological modules under change of rings

Yajuan Liu, Cuiping Zhang

Northwest Normal University; Northwest Normal University

Abstract

Some properties of strongly Gorenstein $C$-projective, $C$-injec\-tive and $C$-flat modules are studied, mainly considering these properties under change of rings. Specifically, the completions of rings, the localizations and the polynomial rings are considered.

Keywords: Semidualizing module, strongly Gorenstein $C$-projective ($C$-injective, $C$-flat) module, completion, localization, polynomial

MSC numbers: Primary 13D07, 16E65

Supported by: This work was supported by National Natural Science Foundation of China (No. 11761061).