scholarly journals Torsion Pairs in Categories of Modules over a Preadditive Category

2020 ◽  
Author(s):  
Carlos E. Parra ◽  
Manuel Saorín ◽  
Simone Virili
Keyword(s):  
Torsion Pairs

scholarly journals Torsion pairs in cluster tubes

2013 ◽  
Vol 39 (3) ◽  
pp. 587-605 ◽  
Author(s):  
Thorsten Holm ◽  
Peter Jørgensen ◽  
Martin Rubey
Keyword(s):  
Torsion Pairs

scholarly journals Torsion Pairs and Quasi-abelian Categories

2020 ◽  
Author(s):  
Aran Tattar
Keyword(s):  
Abelian Categories ◽  
Torsion Pairs

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.

scholarly journals Cotorsion pairs, torsion pairs, and Σ-pure-injective cotilting modules

2010 ◽  
Vol 214 (5) ◽  
pp. 519-525 ◽  
Author(s):  
Riccardo Colpi ◽  
Francesca Mantese ◽  
Alberto Tonolo
Keyword(s):  
Cotorsion Pairs ◽  
Cotilting Modules ◽  
Torsion Pairs

scholarly journals Constructing Torsion Pairs

1996 ◽  
Vol 185 (1) ◽  
pp. 19-41 ◽  
Author(s):  
Ibrahim Assem ◽  
Otto Kerner
Keyword(s):  
Torsion Pairs

scholarly journals Torsion pairs in recollements of abelian categories

2018 ◽  
Vol 13 (4) ◽  
pp. 875-892 ◽  
Author(s):  
Xin Ma ◽  
Zhaoyong Huang
Keyword(s):  
Abelian Categories ◽  
Torsion Pairs
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