论文标题
ABELIAN类别中的CS-Rickart和Dual CS-Rickart对象
CS-Rickart and dual CS-Rickart objects in abelian categories
论文作者
论文摘要
我们将（双重）类别中的（双重）相对CS-Rickart对象介绍为（双重）相对Rickart对象的常见概括，并扩展了（提升）对象。我们研究（双重）相对CS-rickart对象的直接求和和（CO）产品，以及所有其对象是（双重）self-cs-rickart的类。应用程序用于Grothendieck类别，尤其是用于模块和综合类别。
We introduce (dual) relative CS-Rickart objects in abelian categories, as common generalizations of (dual) relative Rickart objects and extending (lifting) objects. We study direct summands and (co)products of (dual) relative CS-Rickart objects as well as classes all of whose objects are (dual) self-CS-Rickart. Applications are given to Grothendieck categories and, in particular, to module and comodule categories.
