Direct limits of Gorenstein injective modules
A Iacob - arXiv preprint arXiv:2308.08699, 2023 - arxiv.org
One of the open problems in Gorenstein homological algebra is: when is the class of
Gorenstein injective modules closed under arbitrary direct limits? It is known that if the class …
Gorenstein injective modules closed under arbitrary direct limits? It is known that if the class …
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 …
[图书][B] Gorenstein homological algebra
A Iacob - 2018 - taylorfrancis.com
Gorenstein homological algebra is an important area of mathematics, with applications in
commutative and noncommutative algebra, model category theory, representation theory …
commutative and noncommutative algebra, model category theory, representation theory …
Well Generatedness and Adjoints for Homotopy Categories of N-complexes
M Cortés-Izurdiaga, B Torrecillas - Bulletin of the Malaysian Mathematical …, 2023 - Springer
Let R be a ring and N≥ 2. First, we prove that any deconstructible class of modules F over R
induces two coreflective subcategories of the homotopy category KN (Mod-R) of …
induces two coreflective subcategories of the homotopy category KN (Mod-R) of …
Frobenius functors and Gorenstein projective precovers
J Hu, H Li, J Lu, D Zhang - arXiv preprint arXiv:2008.12174, 2020 - arxiv.org
We establish relations between Gorenstein projective precovers linked by Frobenius
functors. This is motivated by an open problem that how to find general classes of rings for …
functors. This is motivated by an open problem that how to find general classes of rings for …
A note on dg-Gorenstein injective covers
A Iacob - Acta Mathematica Universitatis Comenianae, 2022 - iam.fmph.uniba.sk
We consider a ring R such that the class of Gorenstein injective modules is closed under
direct limits. We prove that the class of dg-Gorenstein injective complexes is covering in Ch …
direct limits. We prove that the class of dg-Gorenstein injective complexes is covering in Ch …
Some conditions for the existence of Gorenstein projective covers and preenvelopes
B Yu - Journal of Algebra and Its Applications, 2016 - World Scientific
In this paper, we investigate the rings over which a module is Gorenstein flat if and only if it is
Gorenstein projective. Some examples of such rings are given. We show that over such …
Gorenstein projective. Some examples of such rings are given. We show that over such …