Let A and B be rings and U a (B, A)-bimodule. If BU is flat and UA is finitely generated
projective (resp., BU is finitely generated projective and UA is flat), then the characterizations …

Let A and B be rings and U a (B, A)-bimodule. Under some conditions, Ω Ω-Gorenstein
module over the formal triangular matrix ring T=\left (A\,\quad 0\U\quad B\) T= A 0 UB is …

Abstract Let T=(A 0 UB) be a formal triangular matrix ring, where A and B are rings and U is
a (B, A)-bimodule. We prove that, if T is a right coherent ring, UB has finite flat dimension, UA …

摘要 Let A and B be rings and U be a (B, A)-bimodule. If UB has finite flat dimension, UA has
finite flat dimension and U circle times (A) C is a cotorsion left B-module for any cotorsion left …

In this paper, we introduce the notion of Gorenstein n-flat modules and Gorenstein n-
absolutely pure modules. First, we prove that the direct limit of Gorenstein n-flat modules …

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 …

In this article, we study the relation between m-strongly Gorenstein projective (resp.,
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …

Let R be a ring and n be a non-negative integer. In this paper, we introduce and study the
notions of Gorenstein n-weak injective and Gorenstein n-weak flat modules by using the …

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 …

A module is called a Gorenstein flat character module if its character module is Gorenstein
flat. We give some characterizations of Gorenstein flat character modules and explore the …