Publisher： Taylor & Francis Ltd
ISSN： 0092-7872
Source： Communications in Algebra, Vol.41, Iss.10, 2013-10, pp. : 3720-3738
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Abstract
A notion of mutation of subcategories in a right triangulated category is defined in this article. When (, ) is a -mutation pair in a right triangulated category , the quotient category / carries naturally a right triangulated structure. Moreover, if the right triangulated category satisfies some reasonable conditions, then the right triangulated quotient category / becomes a triangulated category. When is triangulated, our result unifies the constructions of the quotient triangulated categories by Iyama-Yoshino and by Jørgensen, respectively.
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