Abstract
The heart of a cotorsion pair, which is a generalization of the heart of a t-structure, has been proven to be abelian on triangulated, exact, and extriangulated categories. On the other hand, the heart of a twin cotorsion pair is not always abelian (it is only semi-abelian). In this article, we study a special kind of hearts of twin cotorsion pairs induced by d-cluster tilting subcategories. We will give a sufficient-necessary condition when such hearts become abelian. We will also see that such hearts are hereditary.
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