Foxby equivalences associated to strongly Gorenstein modules

W Zhang, Z Liu, X Yang - Kodai Mathematical Journal, 2018 - jstage.jst.go.jp
In order to establish the Foxby equivalences associated to strongly Gorenstein modules, we
introduce the notions of strongly WP-Gorenstein, WI-Gorenstein and WF-Gorenstein …

相对于半对偶模的Gorenstein AC-投射模

孙彦中, 杨晓燕 - 山东大学学报(理学版), 2017 - lxbwk.njournal.sdu.edu.cn
相对于半对偶模的Gorenstein AC-投射模 Page 1 第52卷第10期 Vol. 52 No. 10 山东大学学报(理学
版) Journal of Shandong University(Natural Science) 2017年10月 Oct. 2017 收稿日期:2016-12-15ꎻ …

Banach 空间上离散时间系统的多项式稳定

黄雷雷, 宋晓秋, 卢威 - 山东大学学报(理学版), 2017 - lxbwk.njournal.sdu.edu.cn
Banach空间上离散时间系统的多项式稳定 Page 1 第52卷第10期 Vol. 52 No. 10 山东大学学报
(理学版) Journal of Shandong University(Natural Science) 2017年10月 Oct. 2017 收稿日期:2016-11-03ꎻ …

A UNIFIED APPROACH TO VARIOUS GORENSTEIN MODULES

R Zhao, Y Li - Rocky Mountain Journal of Mathematics, 2022 - projecteuclid.org
Abstract Let 𝒱, 𝒲, 𝒴, 𝒳 be four classes of modules. We introduce a notion of (𝒱, 𝒲, 𝒴, 𝒳)-
Gorenstein modules which unifies a number of well-known Gorenstein modules. Under …

Foxby equivalences associated to Gorenstein categories 𝒢(𝒳,𝒴,𝒵)

W Zhang, Z Liu, X Yang - Communications in Algebra, 2018 - Taylor & Francis
In this paper, we establish some new Foxby equivalences between some Gorenstein
subcategories in the Auslander class 𝒜 C (R) and that in the Bass class ℬ C (S) in a general …

On Gorenstein Projective Dimensions of Unbounded Complexes

Z Liu, Z Wang - Chinese Annals of Mathematics, Series B, 2020 - Springer
Abstract Let R→ S be a ring homomorphism and X be a complex of R-modules. Then the
complex of S-modules S⊗ RLX in the derived category D (S) is constructed in the natural …