Abelian quotients associated with fully rigid subcategories

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.

arXiv comment14 pages

References in corpus (2)

• Hearts of twin Cotorsion pairs on extriangulated categories
• Gluing of $n$-cluster tilting subcategories for representation-directed algebras

Cited by in corpus (2)

• On the relation between relative rigid and support tilting
• Gorenstein dimension of abelian categories