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June 2018 Foxby equivalences associated to strongly Gorenstein modules
Wanru Zhang, Zhongkui Liu, Xiaoyan Yang
Kodai Math. J. 41(2): 397-412 (June 2018). DOI: 10.2996/kmj/1530496849

Abstract

In order to establish the Foxby equivalences associated to strongly Gorenstein modules, we introduce the notions of strongly $\mathcal{W}_P$-Gorenstein, $\mathcal{W}_I$-Gorenstein and $\mathcal{W}_F$-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 $\mathcal{W}_P$-Gorenstein left $S$-modules are equivalent under Foxby equivalence. The injective and flat case are also studied.

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Wanru Zhang. Zhongkui Liu. Xiaoyan Yang. "Foxby equivalences associated to strongly Gorenstein modules." Kodai Math. J. 41 (2) 397 - 412, June 2018. https://doi.org/10.2996/kmj/1530496849

Information

Published: June 2018
First available in Project Euclid: 2 July 2018

zbMATH: 06936460
MathSciNet: MR3824858
Digital Object Identifier: 10.2996/kmj/1530496849

Rights: Copyright © 2018 Tokyo Institute of Technology, Department of Mathematics

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Vol.41 • No. 2 • June 2018
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