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n-angulated quotient categories induced by mutation pairs

Category Theory 2014-09-10 v1 Representation Theory

Abstract

We define mutation pair in an n-angulated category 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 in classical triangulated category. As an application, we obtain that the quotient category of a Frobenius n-angulated category is also an n-angulated category.

Keywords

Cite

@article{arxiv.1409.2716,
  title  = {n-angulated quotient categories induced by mutation pairs},
  author = {Zengqiang Lin},
  journal= {arXiv preprint arXiv:1409.2716},
  year   = {2014}
}

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11 pages