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arXiv · 1902.07421

Abelian quotients associated with fully rigid subcategories

Yu Liu
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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.

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Yu Liu. 2019-02-20. Abelian quotients associated with fully rigid subcategories. https://arxiv.org/abs/1902.07421

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