[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2010.23.4.741

JORDAN HIGHER LEFT DERIVATIONS AND COMMUTATIVITY IN PRIME RINGS

Park, Kyoo-Hong (Department of Mathematics Education Seowon University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.23, no.4, 2010 , pp. 741-748 More about this Journal

Abstract

Let R be a 2-torsionfree prime ring. Our goal in this note is to show that the existence of a nonzero Jordan higher left derivation on R implies R is commutative. This result is used to prove a noncommutative extension of the classical Singer-Wermer theorem in the sense of higher derivations.

Keywords

Jordan higher left derivations; higher derivations;

Citations & Related Records

Reference

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