Filtered objects in extriangulated categories
Filtered objects in extriangulated categories
复制标题
已过滤类别中的对象
DOI：
10.1080/00927872.2020.1766479
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发表时间：
2020
影响因子：
0.7
通讯作者：
Zhou Panyue
中科院分区：
文献类型：
--
作者：
Zhou Panyue
设R是Artin环，是Artin外三角化R-范畴中的一个对象族，使得对所有的θ-投射对象类是预覆盖类，θ-内射对象类是预包络类。这推广了林格尔在模块范畴情况下和门多萨-圣地亚哥在三角范畴情况下的工作。
LetRbe an Artin ring andbe a family of objects in an Artin extriangulatedR-categorysuch thatfor allIn this article, we show that the classof the Θ-projective objects is a precovering class and the classof the Θ-injective objects is a pre-enveloping one inFurthermore, ifhas enough projectives and enough injectives, we show that the subcategoryof Θ-filtered objects is functorially finite inAs an application, this generalizes the works by Ringel in a module category case and Mendoza–Santiago in a triangulated category case.