For a class of $ R $-modules $\mathcal {X} $ containing all projective $ R $-modules, the
$\mathcal {X} $-Gorenstein projective $ R $-modules vary from projective to Gorenstein …

On (Strongly) Gorenstein (Semi)Hereditary Rings Page 1 Arab J Sci Eng (2011) 36:431–440
DOI 10.1007/s13369-011-0047-7 RESEARCH ARTICLE - MATHEMATICS Najib Mahdou …

Throughout R is an associative ring with identity and all modules are unitary. Unless stated
otherwise, an R-module will be understood to be a left R-module. As usual, pdR (M) and idR …

arXiv:1704.08901v1 [math.AC] 28 Apr 2017 Page 1 arXiv:1704.08901v1 [math.AC] 28 Apr 2017
CHARACTERIZATION OF GENERALIZED GORENSTEIN RINGS SHIRO GOTO, RYOTARO …

Let $ T $ be a tilting module. In this paper, Gorenstein $\pi [T] $-projective modules are
introduced and some of their basic properties are studied. Moreover, some characterizations …

We give necessary and sufficient conditions in order for the class of projectively coresolved
Gorenstein flat modules, PGF (respectively that of projectively coresolved Gorenstein B flat …

In this paper, we construct some model structures corresponding Gorenstein (ℒ, 𝒜)-modules
and relative Gorenstein flat modules associated to duality pairs, Frobenius pairs and …

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 an associative ring and let n be a non-negative integer. In this paper, we consider n-
super finitely presented, Gorenstein n-weak injective and Gorenstein n-weak flat modules …

In this paper we introduce the notion of Gorenstein X-flat R-module and study a kind of
stability of the class of Gorenstein X-flat R-modules. A ring R is called right GXF-closed if the …