About q-approximations and q-hulls over a Noetherian ring, some refinements of the Auslander-Bridger theory
AM Simon - Communications in Algebra, 2019 - Taylor & Francis
… for a module over a Noetherian ring, originally due to Auslander and Bridger without a name
and … The q-hulls being close to the morphism obtained by Auslander and Bridger in their “…
and … The q-hulls being close to the morphism obtained by Auslander and Bridger in their “…
Stable categories of spherical modules and torsionfree modules
Y Otake - Proceedings of the American Mathematical Society, 2023 - ams.org
… We extend the definition of n-spherical modules due to Auslander and Bridger. Namely, for
any subcategory X of mod R closed under stable isomorphism, we introduce the concept of n-…
any subcategory X of mod R closed under stable isomorphism, we introduce the concept of n-…
On Auslander-type conditions of modules
Z Huang - Publications of the Research Institute for Mathematical …, 2023 - dev.ems.press
… modules satisfying the Auslander-type conditions Gn(m); in particular, a module M in Mod R
is said to satisfy the Auslander … )proper (co)resolutions of modules in [H2] we will investigate …
is said to satisfy the Auslander … )proper (co)resolutions of modules in [H2] we will investigate …
A new Homological Invariant for Modules
M Izadi - arXiv preprint arXiv:1903.05308, 2019 - arxiv.org
… Using the structure of Vogel cohomology, for any finitely generated module M, we introduce
a new … Auslander and Bridger [AB] singled out the class of Rmodules of finite Gorenstein …
a new … Auslander and Bridger [AB] singled out the class of Rmodules of finite Gorenstein …
Neat submodules over commutative rings
E Mermut, Z Türkoğlu - Communications in Algebra, 2020 - Taylor & Francis
… For a commutative ring R, we prove that neatness and P -purity coincide if and only if
every simple R-module S is finitely presented and an Auslander-Bridger transpose of S is …
every simple R-module S is finitely presented and an Auslander-Bridger transpose of S is …
On the Auslander-Bridger-Yoshino theory for complexes of finitely generated projective modules
Y Otake - arXiv preprint arXiv:2311.12173, 2023 - arxiv.org
… Auslander–Bridger approximation theorem for complexes of finitely generated projective
R-modules… version of the stable module theory developed by Auslander and Bridger [2]. So we …
R-modules… version of the stable module theory developed by Auslander and Bridger [2]. So we …
On reduced G-perfection and horizontal linkage relative to a semidualizing module
CB Miranda-Neto, TS Souza - arXiv preprint arXiv:2201.00847, 2022 - arxiv.org
… module, and studied linkage even further. In the present paper, we contribute to their theory
and also generalize results of Auslander and Bridger … by relative Auslander transpose, and …
and also generalize results of Auslander and Bridger … by relative Auslander transpose, and …
--torsionfree modules
P Zhang, J Geng - Turkish Journal of Mathematics, 2019 - journals.tubitak.gov.tr
… R-module was considered in [8]. Auslander and Bridger introduced n-torsionfree modules
… finitely generated modules when n-syzygy modules and n-torsionfree modules coincide in [1…
… finitely generated modules when n-syzygy modules and n-torsionfree modules coincide in [1…
Auslander conditions and tilting-like cotorsion pairs
J Wang, Y Li, J Wu, J Hu - Journal of Algebra, 2023 - Elsevier
… of modules satisfying the Auslander condition. Assume that AC is the class of left R-modules
satisfying the Auslander … by Auslander and Bridger [3] in the study of totally reflexive …
satisfying the Auslander … by Auslander and Bridger [3] in the study of totally reflexive …
[PDF][PDF] Auslander-Reiten principle in derived categories.
Y Yoshino - math.ipm.ac.ir
… of Auslander-Reiten sequence in the category of maximal Cohen-Macaulay modules. Further
… To prove this theorem we need to develop and establish the AuslanderBridger type theory …
… To prove this theorem we need to develop and establish the AuslanderBridger type theory …