Gorenstein injective and strongly cotorsion modules
Z Huang - Israel Journal of Mathematics, 2013 - Springer
By investigating the properties of some special covers and envelopes of modules, we prove
that if R is a Gorenstein ring with the injective envelope of RR flat, then a left R-module is …
that if R is a Gorenstein ring with the injective envelope of RR flat, then a left R-module is …
When every Gorenstein projective (resp. flat) module is strongly Gorenstein projective (resp. flat)
N Mahdou, M Tamekkante - arXiv preprint arXiv:0909.2384, 2009 - arxiv.org
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 …
Gorenstein projective. In this paper, we are interesting to an extension of this idea. Thus, we …
Gorenstein flat and projective (pre) covers
S Estrada, A Iacob, S Odabasi - arXiv preprint arXiv:1508.04173, 2015 - arxiv.org
arXiv:1508.04173v1 [math.AC] 17 Aug 2015 Page 1 arXiv:1508.04173v1 [math.AC] 17 Aug
2015 GORENSTEIN FLAT AND PROJECTIVE (PRE)COVERS S. ESTRADA, A. IACOB, S …
2015 GORENSTEIN FLAT AND PROJECTIVE (PRE)COVERS S. ESTRADA, A. IACOB, S …
Gorenstein orthogonal classes and Gorenstein weak tilting modules
L Mao - Communications in Algebra, 2021 - Taylor & Francis
Let R be a Gorenstein ring. We first study Gorenstein orthogonal classes and Gorenstein
cotorsion pairs of R-modules. Then, we introduce the concept of Gorenstein weak tilting R …
cotorsion pairs of R-modules. Then, we introduce the concept of Gorenstein weak tilting R …
Strongly Gorenstein projective, injective and flat modules over formal triangular matrix rings
L Mao - Bulletin mathématique de la Société des Sciences …, 2020 - JSTOR
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 …
Strongly Gorenstein projective, injective and flat modules over formal triangular matrix rings by …
[PDF][PDF] On GI-flat modules and dimensions
Z Gao - Journal of the Korean Mathematical Society, 2013 - researchgate.net
Let R be a ring. A right R-module M is called GI-flat if TorR 1 (M, G)= 0 for every Gorenstein
injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and …
injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and …
Gorenstein FI-flat (pre) covers
GORENSTEIN FI-FLAT (PRE)COVERS 1. Introduction The notions of (pre)covers and (pre)envelopes
of modules were introduced by Enoch Page 1 Gulf Journal of Mathematics Vol 3, Issue 4 (2015) …
of modules were introduced by Enoch Page 1 Gulf Journal of Mathematics Vol 3, Issue 4 (2015) …
Gorenstein -flat modules and weak global dimensions
V Becerril - arXiv preprint arXiv:2303.12955, 2023 - arxiv.org
In this paper we characterize the relative Gorenstein weak global dimension of the
generalized Gorenstein $\mathcal {Y} $-flat modules recently studied by S. Estrada, A. Iacob …
generalized Gorenstein $\mathcal {Y} $-flat modules recently studied by S. Estrada, A. Iacob …
Relative Gorenstein rings and duality pairs
J Wang, Z Di - Journal of Algebra and Its Applications, 2020 - World Scientific
Let R be a ring (not necessarily commutative) and (ℒ, 𝒜) a bi-complete duality pair. We
investigate the notions of (flat-typed)(ℒ, 𝒜)-Gorenstein rings, which unify Iwanaga …
investigate the notions of (flat-typed)(ℒ, 𝒜)-Gorenstein rings, which unify Iwanaga …
Strongly Gorenstein flat and Gorenstein FP-injective modules
C Yang - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
In this paper, we first study the properties of strongly Gorenstein flat (resp. Gorenstein FP-
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …