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Hearts of twin cotorsion pairs revisited: integral and abelian hearts

Published 29 Jun 2023 in math.RT and math.CT | (2306.16603v1)

Abstract: Hearts of twin cotorsion pairs are shown to be quasi-abelian. But they are not always integral. In this article, we provide a sufficient and necessary condition for the hearts of twin cotorsion pairs being integral (resp. abelian).

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