Abstract In 2012, Ananthnarayan, Avramov and Moore give a new construction of
Gorenstein rings from two Gorenstein local rings, called their connected sum. Given a …

In\cite {Ouarghi}, the authors discuss the rings over which all modules are strongly
Gorenstein projective. In this paper, we are interesting to an extension of this idea. Thus, we …

In this paper, firstly, we characterize some rings by strict Mittag-Leffler conditions. Then, we
investigate when Gorenstein projective modules are Gorenstein flat by employing tilting …

In this article, we give a new characterization of Gorenstein projective modules. As
applications of our result, we prove that a strongly Gorenstein projective module of …

Let G and be groups, R= g GR ga graded ring of type G with an identity, A= A σ a graded ring
of type with an identity, R# G and A# smash products of R and A, respectively. Let W=(g U σ …

Let A and B be rings, U a (B, A)-bimodule and T= A 0 UB be a triangular matrix ring. We first
give an explicit description for Gorenstein injective T-modules over the triangular matrix ring …

Let R and S be Artin algebras and Γ be their triangular matrix extension via a bimodule
SMR. We study totally acyclic complexes of projective Γ-modules and obtain a complete …

In this paper, we construct some non-integrally closed domains in Gorenstein multiplicative
ideal theory. For example, we show that there exists a Gorenstein Prüfer domain which is …

Let $ R $ be a ring with Gwgldim $(R)<\infty $. We obtain a triangle-equivalence $\mathrm
{K}(R\text {-}\mathrm {GProj})\simeq\mathrm {K}(R\text {-}\mathrm {GInj}) $ which restricts to a …

Gillespie posed two questions in [Front. Math. China 12 (2017) 97-115], one of which states
that “for what rings R do we have K (AC)= K (R-Inj)?”. We give an answer to such a question …