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 …

The adjoint cotranspose of modules with respect to subcategories

Y Wang, G Zhao, B Zhang - Colloquium Mathematicum, 2021 - impan.pl
Let $\mathcal X $ be a subcategory of left $ S $-modules and $ _ {R} U_ {S} $ an $(R, S) $-
bimodule. As a generalization of an adjoint cotranspose, we introduce an adjoint $\mathcal …

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 …

Transfer Properties of Gorenstein Flat Modules with Respect to a Semidualizing Module Along Ring Homomorphisms

X CAI, CAO Miao, Z DI - Journal of Southwest China Normal …, 2020 - xbgjxt.swu.edu.cn
Let C be a semidualizing R-module over a commutative coherent ring R. In this artical, we
show that if S is a faithfully flat commutative R-algebra such that the class of C⊗ R S …

[引用][C] 相对投射与内射维数的若干注记

何东林, 李煜彦 - Chinese Quarterly Journal of Mathematics, 2020

[引用][C] Some Notes on Relative Projective and Injective Dimensions

D HE, Y LI - Chinese Quarterly Journal of Mathematics, 2020