Generalized Jordan left derivations on semiprime algebras

Dong Han; Feng Wei

doi:10.1007/s00605-009-0116-0

Generalized Jordan left derivations on semiprime algebras

Dong Han, Feng Wei^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

Let A be a semiprime algebra of characteristic not 2. Then any generalized Jordan left derivation on A is a generalized left derivation and is also a generalized derivation. This gives an affirmative answer to a question in Ashraf and Ali (Bull Korean Math Soc 45:253-261, 2008). Moreover, we prove that there are no nonzero generalized Jordan left derivations that take only nilpotent values on A.

Original language	English
Pages (from-to)	77-83
Number of pages	7
Journal	Monatshefte fur Mathematik
Volume	161
Issue number	1
DOIs	https://doi.org/10.1007/s00605-009-0116-0
Publication status	Published - 2010

Keywords

Generalized Jordan left derivation
Semiprime algebra

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10.1007/s00605-009-0116-0

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abstract = "Let A be a semiprime algebra of characteristic not 2. Then any generalized Jordan left derivation on A is a generalized left derivation and is also a generalized derivation. This gives an affirmative answer to a question in Ashraf and Ali (Bull Korean Math Soc 45:253-261, 2008). Moreover, we prove that there are no nonzero generalized Jordan left derivations that take only nilpotent values on A.",

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AB - Let A be a semiprime algebra of characteristic not 2. Then any generalized Jordan left derivation on A is a generalized left derivation and is also a generalized derivation. This gives an affirmative answer to a question in Ashraf and Ali (Bull Korean Math Soc 45:253-261, 2008). Moreover, we prove that there are no nonzero generalized Jordan left derivations that take only nilpotent values on A.

KW - Generalized Jordan left derivation

KW - Semiprime algebra

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Generalized Jordan left derivations on semiprime algebras

Abstract

Keywords

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