Abstract:Recall that a ring R is called strongly pi-regular if, for every a in R,
there is a positive integer n, depending on a, such that a^n belongs to the
intersection of a^{n+1}R and Ra^{n+1}. In this paper we give a further study of
the notion of a strongly pi-star-regular ring, which is the star-version of
strongly pi-regular rings and which was originally introduced by Cui-Wang in J.
Korean Math. Soc. (2015). We also establish various properties of these rings
and give several new characterizations in terms of (… Show more
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.