论文标题
带有足够的dipottents的环条件，并具有用于分类环类的应用
Chain conditions for rings with enough idempotents with applications to category graded rings
论文作者
论文摘要
我们获得了何时左/右Artinian或Noetherian的戒指何时根据相关的局部标准定义的局部标准。我们将这些标准应用于一般的对象Unital类别等级环，尤其是偏斜类别代数的类别。因此，我们将Nastasescu-van Oystaeyen，Bell，Park和Zelmanov的结果从小组分级为case as gropeoid，在某些情况下，等级。
We obtain criteria for when a ring with enough idempotents is left/right artinian or noetherian in terms of local criteria defined by the associated complete set of idempotents for the ring. We apply these criteria to object unital category graded rings in general and, in particular, to the class of skew category algebras. Thereby, we generalize results by Nastasescu-van Oystaeyen, Bell, Park and Zelmanov from the group graded case to groupoid, and in some cases category, gradings.
