2016β’Communications in AlgebraRequires access
Mutation Pairs in Abelian Categories
Jinde Xu, Panyue Zhou, Baiyu Ouyang
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Abstract
A notion of mutation pairs of subcategories in an abelian category is defined in this article. For an extension closed subcategory π΅ and a rigid subcategory π β π΅, the subfactor category π΅/[π] is also a triangulated category whenever (π΅, π΅) forms a π-mutation pair. Moreover, if π and π΅ satisfy certain conditions in modΞ, the category of finitely generated Ξ-modules over an artin algebra Ξ, the triangulated category π΅/[π] has a Serre functor.