GORENSTEIN -PROJECTIVITY WITH RESPECT TO A TILTING MODULE
M Amini - International Electronic Journal of Algebra, 2020 - dergipark.org.tr
Let $ T $ be a tilting module. In this paper, Gorenstein $\pi [T] $-projective modules are
introduced and some of their basic properties are studied. Moreover, some characterizations …
introduced and some of their basic properties are studied. Moreover, some characterizations …
Syzygy and torsionless modules with respect to a semidualizing module
This paper aims at generalizing the notions of “Auslander dual”,“k-torsionless” and “k-th
syzygy” modules to the relative setting with respect to a semidualizing module. It is shown …
syzygy” modules to the relative setting with respect to a semidualizing module. It is shown …
nT-COTORSION-FREE MODULES
D Liu, J Wei - Glasgow Mathematical Journal, 2020 - cambridge.org
In order to better unify the tilting theory and the Auslander–Reiten theory, Xi introduced a
general transpose called the relative transpose. Originating from this, we introduce and …
general transpose called the relative transpose. Originating from this, we introduce and …
[HTML][HTML] Cotilting modules over commutative noetherian rings
J Šťovíček, J Trlifaj, D Herbera - Journal of pure and applied algebra, 2014 - Elsevier
Recently, tilting and cotilting classes over commutative Noetherian rings have been
classified in [2]. We proceed and, for each n-cotilting class C, construct an n-cotilting module …
classified in [2]. We proceed and, for each n-cotilting class C, construct an n-cotilting module …
Ringel modules and homological subcategories
H Chen, C Xi - arXiv preprint arXiv:1206.0522, 2012 - arxiv.org
Given a good $ n $-tilting module $ T $ over a ring $ A $, let $ B $ be the endomorphism ring
of $ T $, it is an open question whether the kernel of the left-derived functor $ T\otimes^ L_B …
of $ T $, it is an open question whether the kernel of the left-derived functor $ T\otimes^ L_B …
[PDF][PDF] Generalized tilting modules and applications to module theory
Y Miyashita - Mathematical Journal of Okayama …, 1992 - ousar.lib.okayama-u.ac.jp
In the representation theory of algebras, the notion of a tilting module of finite projective
dimension (cf.[7]) is well known, and there are many papers concerning this. On the other …
dimension (cf.[7]) is well known, and there are many papers concerning this. On the other …
Pure projective tilting modules
S Bazzoni, I Herzog, P Příhoda, J Šaroch… - Documenta …, 2020 - content.ems.press
Let TR be a 1-tilting module with tilting torsion pair (Gen T, F) in Mod-R. The following
conditions are proved to be equivalent:(1) T is pure projective;(2) Gen T is a definable …
conditions are proved to be equivalent:(1) T is pure projective;(2) Gen T is a definable …
[PDF][PDF] Representable equivalences are represented by tilting modules
G D'Este, D Happel - … del Seminario Matematico della Università di …, 1990 - numdam.org
Finally, let B and 8 be two rings, let 9 be a full subcategory of left R-modules closed under
direct sums and factor modules, let be a full subcategory of left S-modules containing ss and …
direct sums and factor modules, let be a full subcategory of left S-modules containing ss and …
Recollements of Derived Categories from Two-Term Big Tilting Complexes
H Xu - Algebras and Representation Theory, 2024 - Springer
We introduce the notion of big tilting complexes over associative rings, which is a
simultaneous generalization of good tilting modules and tilting complexes over rings. Given …
simultaneous generalization of good tilting modules and tilting complexes over rings. Given …
Equivalences represented by faithful non-tilting*-modules
R Colpi, G D'Este - Canadian Mathematical Society Conference …, 1998 - books.google.com
Given any (faithful) quasi-progenerator RP, with endomorphism ring A End (RP), and any
tilting module AT, we prove that the module RV= RP AT is a (faithful)*-module, which is …
tilting module AT, we prove that the module RV= RP AT is a (faithful)*-module, which is …