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Mutation pairs and triangulated quotients
Theory and applications of categories, Tome 30 (2015), pp. 1823-1840 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We introduce the notion of mutation pairs in pseudo-triangulated categories. Given such a mutation pair, we prove that the corresponding quotient category carries a natural triangulated structure under certain conditions. This result unifies many previous constructions of quotient triangulated categories.

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Classification : 18E10, 18E30
Keywords: Quotient category, mutation pair, pseudo-triangulated category, triangulated category 
@article{TAC_2015_30_a51,
     author = {Zengqiang Lin and Minxiong Wang},
     title = {Mutation pairs and triangulated quotients},
     journal = {Theory and applications of categories},
     pages = {1823--1840},
     year = {2015},
     volume = {30},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2015_30_a51/}
}
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Zengqiang Lin; Minxiong Wang. Mutation pairs and triangulated quotients. Theory and applications of categories, Tome 30 (2015), pp. 1823-1840. http://geodesic.mathdoc.fr/item/TAC_2015_30_a51/