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ON SKEW-SUPERCOMMUTING MAPS IN SUPERALGEBRAS

Part of: General nonassociative rings

Published online by Cambridge University Press:  01 December 2008

YU WANG
YU WANG*
Affiliation:
College of Mathematics, Jilin Normal University, Siping, 136000, People’s Republic of China (email: ywang2004@mail.china.com)
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Abstract

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Let A be a semiprime superalgebra over a commutative ring F with and f:A→A a skew-supercommuting map on A. We show that f=0. This gives a version of Brešar’s theorem for superalgebras.

Keywords

prime superalgebrasemiprime superalgebraskew-supercommuting map

MSC classification

Secondary: 17A70: Superalgebras
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 78 , Issue 3 , December 2008 , pp. 397 - 409
Copyright
Copyright © 2009 Australian Mathematical Society

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