Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 51, No. 1, pp. 57-61 (2010)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 51, No. 1, pp. 57-61 (2010) |
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Some small-centralizer properties for ringsHoward E. Bell and Abraham A. KleinDepartment of Mathematics, Brock University, St. Catharines, Ontario, Canada L2S 3A1, e-mail: hbell@brocku.ca; School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel, e-mail: 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.
© 2010 Heldermann Verlag
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