We study the Gorenstein weak global dimension of associative rings and its relation to the
Gorenstein global dimension. In particular, we prove the conjecture that the Gorenstein …

We study approximations of modules of finite Gorenstein flat dimension by (projectively
coresolved) Gorenstein flat modules and modules of finite flat dimension. These …

The study of global dimension of pullback rings has been subject of several interesting
works and has been served to solve many open problems. In this paper, we attempt to …

In this paper, we prove that the Gorenstein analogue of the well-known Auslander's theorem
on the global dimension holds true. Namely, we prove that the Gorenstein global dimension …

We extend the cotorsion dimension of R-modules to unbounded R-complexes by applying
the flat model structure on Ch (R) proposed by J. Gillespie. This is not natural because there …

This paper is a continuation of the paper Int. Electron. J. Algebra 6 (2009), 219-227. Namely,
we introduce and study a doubly filtered set of classes of rings of finite Gorenstein global …

In this paper, we generalize, with respect to the w-operation, the notions of FI-injective and FI-
flat modules introduced by L. Mao and N. Ding. Let R be a ring. An R-module M is called w …

Let H be a finite-dimensional Hopf algebra over a field k, and let A be an H-module algebra.
In this paper, we discuss the cotorsion dimension of the smash product A# H. We prove that …