Homological and homotopical aspects of Gorenstein flat modules and complexes relative to duality pairs
V Becerril, MA Pérez - arXiv preprint arXiv:2210.11014, 2022 - arxiv.org
We study homological and homotopical aspects of Gorenstein flat modules over a ring with
respect to a duality pair $(\mathcal {L, A}) $. These modules are defined as cycles of exact …
respect to a duality pair $(\mathcal {L, A}) $. These modules are defined as cycles of exact …
Gorenstein right derived functors of−⊗− with respect to semidualizing modules
J Hu, D Zhang, N Ding - Communications in Algebra, 2014 - Taylor & Francis
Full article: Gorenstein Right Derived Functors of − ⊗ −with Respect to Semidualizing
Modules Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …
Modules Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …
Monic monomial representations I Gorenstein-projective modules
XH Luo, P Zhang - arXiv preprint arXiv:1510.05124, 2015 - arxiv.org
For a $ k $-algebra $ A $, a quiver $ Q $, and an ideal $ I $ of $ kQ $ generated by monomial
relations, let $\Lambda:= A\otimes_k kQ/I $. We introduce the monic representations of $(Q …
relations, let $\Lambda:= A\otimes_k kQ/I $. We introduce the monic representations of $(Q …
Monic modules and semi-Gorenstein-projective modules
P Zhang - Journal of Pure and Applied Algebra, 2023 - Elsevier
The category gp (Λ) of Gorenstein-projective modules over tensor algebra Λ= A⊗ k B can be
described as the monomorphism category mon (B, gp (A)) of B over gp (A). In particular …
described as the monomorphism category mon (B, gp (A)) of B over gp (A). In particular …
Gorenstein flat modules with respect to duality pairs
Z Wang, G Yang, R Zhu - Communications in Algebra, 2019 - Taylor & Francis
Let X be a class of left R-modules, Y be a class of right R-modules. In this article, we
introduce and study Gorenstein (X, Y)-flat modules as a common generalization of some …
introduce and study Gorenstein (X, Y)-flat modules as a common generalization of some …
Ding projective and Ding injective modules over trivial ring extensions
L Mao - Czechoslovak Mathematical Journal, 2023 - Springer
Abstract Let R⋉ M be a trivial extension of a ring R by an RR-bimodule M such that MR,
RM,(R, 0) R⋉ M and R⋉ M (R, 0) have finite flat dimensions. We prove that (X, α) is a Ding …
RM,(R, 0) R⋉ M and R⋉ M (R, 0) have finite flat dimensions. We prove that (X, α) is a Ding …
Ding projective modules over Morita context rings
D Asefa - Communications in Algebra, 2024 - Taylor & Francis
Full article: Ding projective modules over Morita context rings Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …
Graded triangular extensions over a ring
S Zhang, S Liu - Communications in Algebra, 2002 - Taylor & Francis
In this paper we prove that a graded triangular extension over a ring with a left Morita duality
has a left graded Morita duality. And we prove that a graded trivial extension A of a ring R by …
has a left graded Morita duality. And we prove that a graded trivial extension A of a ring R by …
New characterizations of dualizing modules
X Tang - Communications in Algebra, 2012 - Taylor & Francis
Let R be a commutative Noetherian ring. In this article, we provide some new criteria for a
semidualizing module to be dualizing in terms of special homological properties of module …
semidualizing module to be dualizing in terms of special homological properties of module …