Results 261 to 270 of about 21,122 (292)

Torsion Pairs and Rigid Objects in Tubes [PDF]

open access: yesAlgebras and Representation Theory, 2013
We classify the torsion pairs in a tube category and show that they are in bijection with maximal rigid objects in the extension of the tube category containing the Prüfer and adic modules.
Karin Baur   +2 more
exaly   +9 more sources

Torsion pairs in recollements of abelian categories [PDF]

open access: yesFrontiers of Mathematics in China, 2018
15 ...
Zhaoyong Huang, Huang Zhaoyong
exaly   +4 more sources

Torsion Pairs and Quasi-abelian Categories [PDF]

open access: yesAlgebras and Representation Theory, 2020
AbstractWe define torsion pairs for quasi-abelian categories and give several characterisations. We show that many of the torsion theoretic concepts translate from abelian categories to quasi-abelian categories. As an application, we generalise the recently defined algebraic Harder-Narasimhan filtrations to quasi-abelian categories.
Aran Tattar
exaly   +4 more sources

Cohen–Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras

open access: yesJournal of Algebra, 2005
We use torsion pairs in stable categories and cotorsion pairs in modules categories to study, in general infinitely generated, Cohen–Macaulay modules and (a generalization of) modules of finite projective or injective dimension over an Artin algebra.
Apostolos Beligiannis
exaly   +3 more sources

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