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math.RT2023
Largest exact structures and almost split sequences on hearts of twin cotorsion pairs
Yu Liu, Wuzhong Yang, Panyue Zhou
Hearts of cotorsion pairs on extriangulated categories are abelian categories. On the other hand, hearts of twin cotorsion pairs are not always abelian. They were shown to be semi-…
math.RT2023
Hearts of twin cotorsion pairs revisited: integral and abelian hearts
Yu Liu, Panyue Zhou
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 t…