Mutation pairs and triangulated quotients
classification
🧮 math.CT
math.RT
keywords
categorymutationtriangulatedpairpseudo-triangulatedquotientcarriescategories
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We define mutation pair in a pseudo-triangulated category. We prove that under certain conditions, for a mutation pair in a pseudo-triangulated category, the corresponding quotient category carries a natural triangulated structure. This result unifies many previous constructions of quotient triangulated categories.
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