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Torsion Pairs in Triangulated Categories

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Author(s): Chunyan Fan | Hailou Yao

Journal: Advances in Pure Mathematics
ISSN 2160-0368

Volume: 03;
Issue: 03;
Start page: 374;
Date: 2013;
Original page

Keywords: d-Ext-Projectivity (d-Ext-Injectivity) | Torsion Pairs | D-Mutation | Triangulated Category

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  .
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