Foxby equivalences associated to strongly Gorenstein modules

Wanru Zhang; Zhongkui Liu; Xiaoyan Yang

doi:10.2996/kmj/1530496849

Kodai Mathematical Journal

Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991

Foxby equivalences associated to strongly Gorenstein modules

Wanru Zhang, Zhongkui Liu, Xiaoyan Yang

Author information

Keywords: strongly $\mathcal{W}_P$-Gorenstein modules, strongly $\mathcal{W}_I$-Gorenstein modules, strongly $\mathcal{W}_F$-Gorenstein modules, semidualizing bimodule, Foxby equivalence

JOURNAL FREE ACCESS

2018 Volume 41 Issue 2 Pages 397-412

DOI https://doi.org/10.2996/kmj/1530496849

Details

Abstract

In order to establish the Foxby equivalences associated to strongly Gorenstein modules, we introduce the notions of strongly _P-Gorenstein, _I-Gorenstein and _F-Gorenstein modules and discuss some basic properties of these modules. We show that the subcategory of strongly Gorenstein projective left R-modules in the left Auslander class and the subcategory of strongly _P-Gorenstein left S-modules are equivalent under Foxby equivalence. The injective and flat case are also studied.

Content from these authors

This article cannot obtain the latest cited-by information.

Favorites & Alerts

Corresponding author

Register with J-STAGE for free!