Grading and Filtrations of Gamma Rings
Rings and Algebras
2022-11-02 v1
Abstract
The aim of this paper is to introduce and study graded and filtered gamma rings and gamma modules. We prove that the filtered -ring (module) is a generalization of the notion of graded ring (module). Also, we construct a graded -ring from a filtered -ring. We investigate some properties of graded and fileterd Gamma rings and Gamma modules. Finally we define and study the strongly graded gamma rings.
Cite
@article{arxiv.2101.11993,
title = {Grading and Filtrations of Gamma Rings},
author = {Shadi Shaqaqha and Afnan Dagher},
journal= {arXiv preprint arXiv:2101.11993},
year = {2022}
}