On the structure of nearly epsilon and epsilon-strongly graded rings
Rings and Algebras
2020-10-14 v2 Representation Theory
Abstract
In this work we study the classes of epsilon and nearly epsilon-strongly graded rings by a group . In particular, we extend Dade's theorem to the realm of nearly epsilon-strongly graded rings. Moreover, we introduce the category SIMgr 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.
Keywords
Cite
@article{arxiv.2010.03054,
title = {On the structure of nearly epsilon and epsilon-strongly graded rings},
author = {Luis Martínez and Héctor Pinedo and Yerly Soler},
journal= {arXiv preprint arXiv:2010.03054},
year = {2020}
}