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 …
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-projective and semi-Gorenstein-projective modules
CM Ringel, P Zhang - Algebra & Number Theory, 2020 - msp.org
Let A be an artin algebra. An A-module M will be said to be semi-Gorenstein-projective
provided that Ext i (M, A)= 0 for all i≥ 1. All Gorenstein-projective modules are semi …
provided that Ext i (M, A)= 0 for all i≥ 1. All Gorenstein-projective modules are semi …
Construction of Gorenstein-projective modules over Morita rings
D Asefa - Journal of Algebra and Its Applications, 2023 - World Scientific
In this paper, we obtain necessary and sufficient conditions for all complete projective
resolutions over a Morita ring Δ (0, 0)(A, B, M, N)= AANBBMAB. As special cases, we get a …
resolutions over a Morita ring Δ (0, 0)(A, B, M, N)= AANBBMAB. As special cases, we get a …
Complexes of Gorenstein flat modules and Gorenstein cotorsion modules
Z Wang, Z Liu - Communications in Algebra®, 2010 - Taylor & Francis
A complex (C, δ) is called strongly Gorenstein flat if C is exact and Ker δ n is Gorenstein flat
in R-Mod for all n∈ ℤ. Let 𝒮𝒢 stand for the class of strongly Gorenstein flat complexes. We …
in R-Mod for all n∈ ℤ. Let 𝒮𝒢 stand for the class of strongly Gorenstein flat complexes. We …
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 …
Admissible balanced pairs over formal triangular matrix rings
L Mao - 대한수학회보, 2021 - dbpia.co.kr
Suppose that $ T=\left (\begin {smallmatrix} A&0\\U&B\end {smallmatrix}\right) $ is a formal
triangular matrix ring, where $ A $ and $ B $ are rings and $ U $ is a $(B, A) $-bimodule. Let …
triangular matrix ring, where $ A $ and $ B $ are rings and $ U $ is a $(B, A) $-bimodule. Let …
Stability of strongly Gorenstein flat modules
Z Wang, Z Liu - Vietnam Journal of Mathematics, 2014 - Springer
Abstract A left R-module M is called two-degree strongly Gorenstein flat if there exists an
exact sequence⋯⟶ D 1⟶ D 0⟶ D− 1⟶ D− 2⟶⋯ of strongly Gorenstein flat left R-modules …
exact sequence⋯⟶ D 1⟶ D 0⟶ D− 1⟶ D− 2⟶⋯ of strongly Gorenstein flat left R-modules …
n-gr-coherent rings and Gorenstein graded modules
Let R be a graded ring and n⩾ 1 be an integer. We introduce and study the notions of
Gorenstein n-FP-gr-injective and Gorenstein n-gr-flat modules by using the notion of special …
Gorenstein n-FP-gr-injective and Gorenstein n-gr-flat modules by using the notion of special …
[PDF][PDF] n-gr-COHERENT RINGS AND GORENSTEIN GRADED MODULES
S Mamdouhi - The 14th Edition of" Journées d'Analyse Numérique …, 2023 - researchgate.net
In this talk, we introduce the notions of of Gorenstein n-FP-gr-injective and Gorenstein n-gr-
flat modules over a graded ring R by using the notion of special finitely presented graded …
flat modules over a graded ring R by using the notion of special finitely presented graded …