… projective modules, D P , is covering then the ring R is perfect. And we show that, over a
coherent ring R… then M ′ is a direct summand of a strongly Gorenstein projective module M (by […

… ring with R and S rings and R M S an R–S-bimodule. We describe Gorenstein projective
modules over T… , and Torrecillas [Gorenstein conditions over triangular matrix rings, J. Pure Appl. …

… This extends greatly the results on triangular matrix Artin … to describe Gorenstein-projective
modules over noncommutative … rings and modules instead of Artin algebras and modules. …

… for any super finitely presented R-module M. Further, comparing with … a ring R is not
necessarily a QF-ring if every (super) finitely presented R-module can embedded in a free R-module. …

… -Gorenstein ring is precisely a Ding–Chen ring. We show that any AC-Gorenstein ring admits
a stable module … It is highly recommended that the reader see [BGH14, Section 2] for further …

… strongly Gorenstein projective, injective and flat modules over formal triangular matrix rings.
… In this paper, we shall characterize strongly Gorenstein projective, injective and flat modules …

… We refer to [6] for the basic theory of Gorenstein projective modules. One of the interesting …
Throughout this paper, all rings are nonzero associative ring with identity and all modules are …

… -Gorenstein quotient of small colength of a deeply embedded, equicharacteristic Artinian
Gorenstein local ring, … Roughly speaking, a local ring R is deeply embedded if R = P / I for some …

… We prove that over any ring R, for … projective modules, together with the Ding injective
modules, were introduced by Ding and Mao in [15], where they were called strongly Gorenstein …

… In particular, Gorenstein-projective Λ-modules are monic. In this paper, we find the similar
relation between semi-Gorenstein-projective Λ-modules and A-modules, via monic modules, …