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Communications in Algebra Volume 39, 2011 - Issue 6
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Original Articles

Left Derivations Characterized by Acting on Multilinear Polynomials

Pao-Kuei Liau Department of Mathematics, National Changhua University of Education, Changhua, Taiwan
&
Cheng-Kai Liu Department of Mathematics, National Changhua University of Education, Changhua, TaiwanCorrespondence[email protected]
Pages 1979-1991 | Received 15 Dec 2009, Published online: 21 Jun 2011
 
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Abstract

For prime algebras, we describe a linear map which behaves like a left derivation on a fixed multilinear polynomial in noncommuting indeterminates and, in particular, we characterize left derivations by their action on mth powers.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENT

The authors are thankful to the referee for the very thorough reading of the article and valuable suggestions.

Notes

Communicated by M. Bresar.

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