Foxby equivalences associated to strongly Gorenstein modules

Wanru Zhang; Zhongkui Liu; Xiaoyan Yang

doi:10.2996/kmj/1530496849

著者情報

キーワード: strongly $\mathcal{W}_P$-Gorenstein modules, strongly $\mathcal{W}_I$-Gorenstein modules, strongly $\mathcal{W}_F$-Gorenstein modules, semidualizing bimodule, Foxby equivalence

ジャーナルフリー

2018 年 41 巻 2 号 p. 397-412

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

詳細

抄録

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.

責任著者(Corresponding author)

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