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Communications in Algebra Volume 31, 2003 - Issue 9
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Original Articles

Jordan Superderivations

Maja Fošner Institute of Mathematics, Physics and Mechanics, Jadranska, Ljubljana, Slovenia; Institute of Mathematics, Physics and Mechanics, Jadranska, 19, 1000, Ljubljana, SloveniaCorrespondence[email protected]
Pages 4533-4545 | Received 01 Apr 2002, Published online: 01 Feb 2007
 
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Abstract

We extend Herstein's theorem on Jordan derivations of prime rings to superalgebras. Our main result states that a prime associative superalgebra admits a proper Jordan superderivation only in the case when its even part is commutative.

2000 Mathematics Subject Classification:

Acknowledgments

Notes

#This paper has been written under the direction of Professor Matej Brešar and will be a part of the author's dissertation.

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