论文标题
双交倒对的整体和准上的心脏，外侧类别的类别
Integral and quasi-abelian hearts of twin cotorsion pairs on extriangulated categories
论文作者
论文摘要
最近显示，外侧类别的双胞胎对（（s，t），（u，v））的心脏是半亚伯式的。我们提供了足够的条件，使心脏成为不可或缺的心脏，而心脏则是准阿伯式的。这统一并改善了精确和三角形类别的相应结果。此外，如果t = u，那么我们表明心脏在其常规形态的类别中的加布里埃尔 - 齐斯（Gabriel-Zisman）定位等同于单个双胞胎对的心脏（s，t）。这概括并改善了三角类别的已知结果，从而在确切的环境中提供了新的见解。
It was shown recently that the heart of a twin cotorsion pair ((S,T),(U,V)) on an extriangulated category is semi-abelian. We provide a sufficient condition for the heart to be integral and another for the heart to be quasi-abelian. This unifies and improves the corresponding results for exact and triangulated categories. Furthermore, if T=U, then we show that the Gabriel-Zisman localisation of the heart at the class of its regular morphisms is equivalent to the heart of the single twin cotorsion pair (S,T). This generalises and improves the known result for triangulated categories, thereby providing new insights in the exact setting.
