论文标题
关于几乎Epsilon和Epsilon巧妙分级环的结构
On the structure of nearly epsilon and epsilon-strongly graded rings
论文作者
论文摘要
在这项工作中，我们研究了一个$ g $的Epsilon和Epsilon巧妙地分级的戒指的类别。特别是，我们将Dade的定理扩展到了几乎Epsilon的级别级环的领域。此外，我们介绍了对称分级模块的类别SIM $ s $ s $ gr，并使用它来展示强烈分级环的新表征。一种功能方法用于获得Epsilon巧妙分级环的表征。最后，我们确定可以将epsilon厚度的环写成的条件，将其写入强烈分级的环和一个琐碎的环的直接总和。
In this work we study the classes of epsilon and nearly epsilon-strongly graded rings by a group $G$. In particular, we extend Dade's theorem to the realm of nearly epsilon-strongly graded rings. Moreover, we introduce the category SIM$S-$gr of symmetrically graded modules and use it to present a new characterization of strongly graded rings. A functorial approach is used to obtain a characterization of epsilon-strongly graded rings. Finally, we determine conditions for which an epsilon-strongly graded ring can be written as a direct sum of strongly graded rings and a trivially graded ring.
