Torsion Pairs in Triangulated Categories - Advances in Pure Mathematics

APM > Vol.3 No.3, May 2013

Advances in Pure Mathematics

Volume 3, Issue 3 (May 2013)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.48 Citations

Torsion Pairs in Triangulated Categories ()

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DOI: 10.4236/apm.2013.33054 5,271 Downloads 7,956 Views Citations

Author(s)

Chunyan Fan, Hailou Yao

Affiliation(s)

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

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

Share and Cite:

C. Fan and H. Yao, "Torsion Pairs in Triangulated Categories," Advances in Pure Mathematics, Vol. 3 No. 3, 2013, pp. 374-379. doi: 10.4236/apm.2013.33054.

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