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1. A Morita type theorem for a sort of quotient categories

Creator:
Breaz, Simion
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Morita theorem, quotient category, equivalent categories, and adjoint functors
Language:
English
Description:
We consider the quotient categories of two categories of modules relative to the Serre classes of modules which are bounded as abelian groups and we prove a Morita type theorem for some equivalences between these quotient categories.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. n-angulated quotient categories induced by mutation pairs

Creator:
Lin, Zengqiang
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, mathematics, n-angulated category, quotient category, mutation pair, 13, and 51
Language:
English
Description:
Geiss, Keller and Oppermann (2013) introduced the notion of n-angulated category, which is a “higher dimensional” analogue of triangulated category, and showed that certain (n-2)-cluster tilting subcategories of triangulated categories give rise to n-angulated categories. We define mutation pairs in n-angulated categories and prove that given such a mutation pair, the corresponding quotient category carries a natural n-angulated structure. This result generalizes a theorem of Iyama-Yoshino (2008) for triangulated categories., Zengqiang Lin., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public