Generalized Gorenstein modules
A Iacob - Algebra Colloquium, 2022 - World Scientific
… , and the associated resolutions (see, for … injective modules that stay exact when we apply
a functor Hom(A, −) for any absolutely clean module A; the Gorenstein AC-projective modules …
a functor Hom(A, −) for any absolutely clean module A; the Gorenstein AC-projective modules …
Gorenstein-projective and semi-Gorenstein-projective modules
CM Ringel, P Zhang - Algebra & Number Theory, 2020 - msp.org
… between semiGorenstein-projective modules and Gorenstein-projective modules, see …
Concatenating a minimal projective resolution of M with these approximation sequences ϵi …
Concatenating a minimal projective resolution of M with these approximation sequences ϵi …
Injective modules with respect to modules of projective dimension at most one
S Bouchiba, M El-Arabi - International Electronic Journal of Algebra, 2019 - dergipark.org.tr
… modules and Gorenstein flat modules stem from the classical notions of projective modules,
injective modules … of complete resolutions of projective modules, injective modules and flat …
injective modules … of complete resolutions of projective modules, injective modules and flat …
The cotorsion pair generated by the Gorenstein projective modules and -pure-injective modules
M Cortés-Izurdiaga, J Šaroch - arXiv preprint arXiv:2104.08602, 2021 - arxiv.org
… is the class of all Gorenstein projective modules over a ring R, … when all projective modules
are λ-pure-injective for some … of all left modules having a projective resolution consisting of …
are λ-pure-injective for some … of all left modules having a projective resolution consisting of …
Projectively coresolved Gorenstein flat and ding projective modules
A Iacob - Communications in Algebra, 2020 - Taylor & Francis
… only if every Ding projective module is Gorenstein flat. This is … any ring R of finite weak
Gorenstein global dimension (this … Then for any partial projective resolution of M, 0 → G → P n − …
Gorenstein global dimension (this … Then for any partial projective resolution of M, 0 → G → P n − …
Gorenstein‐projective modules over short local algebras
CM Ringel, P Zhang - Journal of the London Mathematical …, 2022 - Wiley Online Library
… -projective reflexive module implies … projective modules with a non-projective image.
Again, as in the commutative case, we see that if such a complex exists, then A $A$ is self-injective …
Again, as in the commutative case, we see that if such a complex exists, then A $A$ is self-injective …
Gorenstein-projective modules over Morita rings
D Asefa - Algebra Colloquium, 2021 - World Scientific
… Gorenstein-projective modules were introduced by Auslander and Bridger [1]. In … a
Gorenstein-projective module given by Enochs and Jenda [11], using a complete projective …
Gorenstein-projective module given by Enochs and Jenda [11], using a complete projective …
Gorenstein Algebras, Approximations, Serre Duality
AD via Resolutions, S Functors, G Projective… - cambridge.org
… In fact, we derive Serre duality for the stable category of Gorenstein projective modules
from Auslander–Reiten duality. The following section then discusses Serre duality for perfect …
from Auslander–Reiten duality. The following section then discusses Serre duality for perfect …
Gorenstein AC-Projective and AC-Injective Modules over Formal Triangular Matrix Rings
D Wu, H Zhou - Algebra Colloquium, 2022 - World Scientific
… projective (resp., BU is finitely generated projective and UA is … of level modules and Gorenstein
AC-projective modules (resp… projective resolution by finitely generated projective modules…
AC-projective modules (resp… projective resolution by finitely generated projective modules…
Construction of Gorenstein-projective modules over Morita rings
D Asefa - Journal of Algebra and Its Applications, 2023 - World Scientific
… conditions for all Gorensteinprojective modules over a Morita … , we get a class of
Gorenstein-projective modules over Δ(0,0)(A… projective resolutions as well as all …
Gorenstein-projective modules over Δ(0,0)(A… projective resolutions as well as all …