Periodicity and J-Clean-like Rings
Rings and Algebras
2016-03-25 v2
Abstract
A ring is periodic provided that for any there exist distinct elements such that . We shall prove that periodicity is inherited by a type of generalized matrix rings.We define strongly periodic rings and determine completely the connections between these ones and periodic rings. Moreover, we characterize J-clean like rings and obtain the relations among these rings.
Keywords
Cite
@article{arxiv.1409.7904,
title = {Periodicity and J-Clean-like Rings},
author = {Huanyin Chen and Marjan Sheibani Abdolyousefi},
journal= {arXiv preprint arXiv:1409.7904},
year = {2016}
}