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Torsion Pairs in Triangulated Categories

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DOI: 10.4236/apm.2013.33054    4,172 Downloads   6,176 Views  


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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The authors declare no conflicts of interest.

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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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