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arXiv · 1409.7904

Periodicity and J-Clean-like Rings

Huanyin Chen·Marjan Sheibani Abdolyousefi
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Abstract

A ring $R$ is periodic provided that for any $a\ in R$ there exist distinct elements $m,n \in {\Bbb N}$ such that $a^m=a^n$. 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.

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Huanyin Chen, Marjan Sheibani Abdolyousefi. 2014-09-28. Periodicity and J-Clean-like Rings. https://arxiv.org/abs/1409.7904

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