English

Right $n$-angulated categories arising from covariantly finite subcategories

Category Theory 2014-09-11 v1 Representation Theory

Abstract

We define the notion of right nn-angulated category, which generalizes the notion of right triangulated category. Let C\mathcal{C} be an additive category or nn-angulated category and X\mathcal{X} a covariantly finite subcategory, we show that under certain conditions the quotient C/X\mathcal{C}/\mathcal{X} is a right nn-angulated category. This result generalizes some previous work.

Keywords

Cite

@article{arxiv.1409.2948,
  title  = {Right $n$-angulated categories arising from covariantly finite subcategories},
  author = {Zengqiang Lin},
  journal= {arXiv preprint arXiv:1409.2948},
  year   = {2014}
}

Comments

14 pages. arXiv admin note: text overlap with arXiv:1409.2716