Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 51, No. 1, pp. 5761 (2010) 

Some smallcentralizer properties for ringsHoward E. Bell and Abraham A. KleinDepartment of Mathematics, Brock University, St. Catharines, Ontario, Canada L2S 3A1, email: hbell@brocku.ca; School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel, email: aaklein@post.tau.ac.ilAbstract: We characterize rings $R$ in which certain elements $x$ have the property that $C_{R}(x)$ (resp. the set of zero divisors in $C_{R}(x)$) is finite. We also explore the consequences of an assumption that certain $x$ satisfy $C_{R}(x) = \langle x \rangle$. Full text of the article:
Electronic version published on: 27 Jan 2010. This page was last modified: 28 Jan 2013.
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