On Gorenstein global and Gorenstein weak global dimensions

J Wang, G Yang, Q Shao, X Zhang - Colloquium Mathematicum, 2023 - impan.pl
It is well-known that the weak global dimension of a ring does not exceed its global
dimension. Christensen et al. obtained a corresponding result in Gorenstein setting for …

Virtually Gorenstein rings and relative homology of complexes

Z Di, L Liang, J Wang - Journal of Pure and Applied Algebra, 2023 - Elsevier
We extend the notion of virtually Gorenstein rings to the setting of arbitrary rings, and prove
that all rings R of finite Gorenstein weak global dimension are virtually Gorenstein such that …

Homology theories for complexes based on flats

L Liang - Glasgow Mathematical Journal, 2021 - cambridge.org
In this paper, we introduce and study the Gorenstein relative homology theory for
unbounded complexes of modules over arbitrary associative rings, which is defined using …

Notes on Relative Extension Functors

X QingBing, Y Liu, M Munir… - Journal of …, 2022 - Wiley Online Library
The objective of this paper is to study the relative homological properties of contravariantly
and covariantly finite subcategories. Some sufficient conditions for E xt¯ Y n A, B≃ E xt¯ X n …