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arXiv · 2010.03054

On the structure of nearly epsilon and epsilon-strongly graded rings

Luis Martínez·Héctor Pinedo·Yerly Soler
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Abstract

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.

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Luis Martínez, Héctor Pinedo, Yerly Soler. 2020-10-06. On the structure of nearly epsilon and epsilon-strongly graded rings. https://arxiv.org/abs/2010.03054

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