TITLE:
Torsion Pairs in Triangulated Categories
AUTHORS:
Chunyan Fan, Hailou Yao
KEYWORDS:
d-Ext-Projectivity (d-Ext-Injectivity); Torsion Pairs; D-Mutation; Triangulated Category
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.3,
May
21,
2013
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 .