paper

Abelian quotients associated with fully rigid subcategories

arXiv:1902.07421

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.

14 pages