Torsion Pairs in Triangulated Categories

Chunyan Fan, Hailou Yao

College of Applied Sciences, Beijing University of Technology, Beijing, China.

DOI: 10.4236/apm.2013.33054                

Abstract

We study the properties of torsion pairs in triangulated category by introducing the notions of d-Ext-projectivity and d-Ext-injectivity. In terms of -mutation of torsion pairs, we investigate the properties of torsion pairs in triangulated category under some conditions on subcategories and in .

Keywords

d-Ext-Projectivity (d-Ext-Injectivity); Torsion Pairs; D-Mutation; Triangulated Category

Conflicts of Interest

The authors declare no conflicts of interest.

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