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Periodicity and J-Clean-like Rings (1409.7904v2)
Published 28 Sep 2014 in math.RA
Abstract: A ring $R$ is periodic provided that for any $a\ in R$ there exist distinct elements $m,n \in {\Bbb N}$ such that $am=an$. 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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