1 Introduction Page 1 Bull. Math. Soc. Sci. Math. Roumanie Tome 63 (111), No. 3, 2020, 271–285
Strongly Gorenstein projective, injective and flat modules over formal triangular matrix rings by …

Let 𝐴 and 𝐵 be rings and 𝑈 a (B, A)-bimodule. The Gorenstein projective, injective and flat
complexes over the formal triangular matrix ring T=(A 0 UB) are explicitly described. These …

Abstract Let Δ (0, 0)= AANBBMAB be a Morita ring such that the bimodule homomorphisms
are zero. In this paper, we give sufficient conditions for a Δ (0, 0)-module (X, Y, f, g) to be …

In this paper, we study a particular case of Gorenstein projective, injective, and flat modules,
which we call, respectively, strongly Gorenstein projective, injective, and flat modules. These …

Let A and B be rings and T=(AM 0 B) with M an AB-bimodule. We first construct a semi-
complete duality pair DT of over T using duality pairs over A and B respectively. Then we …

A ring is left Gorenstein regular if the classes of left modules with finite projective dimension
and finite injective dimension coincide and the injective and projective finitistic left …

Journal of Algebra Strongly Gorenstein projective, injective and flat modules Page 1 Journal
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …

This paper generalize the idea of the authors in\cite {Bennis and Mahdou1}. Namely, we
define and study a particular case of modules with Gorenstein projective, injective, and flat …

We prove that all Gorenstein projective modules are Gorenstein flat if and only each
Gorenstein projective module has finite Gorenstein flat dimension. As applications, some …

We introduce the concepts of generalized compatible and cocompatible bimodules in order
to characterize Gorenstein projective, injective and flat modules over trivial ring extensions …