English

Abelian quotients associated with fully rigid subcategories

Representation Theory 2019-02-21 v1

Abstract

In this article, we study the Gorenstein property of abelian quotient categories induced by fully rigid subcategories on an exact category B. We also study when d-cluster tilting subcategories become fully rigid. We show that the quotient abelian category induced by such d-cluster tilting subcategories are hereditary.

Keywords

Cite

@article{arxiv.1902.07421,
  title  = {Abelian quotients associated with fully rigid subcategories},
  author = {Yu Liu},
  journal= {arXiv preprint arXiv:1902.07421},
  year   = {2019}
}

Comments

14 pages

R2 v1 2026-06-23T07:45:42.693Z