abs_vol20_pp753-759. 21KB Jun 04 2011 12:05:49 AM

ELA

JORDAN LEFT DERIVATIONS IN FULL AND UPPER

TRIANGULAR MATRIX RINGS

∗

XIAO WEI XU† _{AND HONG YING ZHANG}†

Abstract. In this paper, left derivations and Jordan left derivations in full and upper triangular matrix rings over unital associative rings are characterized.

Key words. Left derivations, Jordan left derivations, Full matrix rings, Triangular matrix rings.

AMS subject classifications. 16S50, 16W25.

∗_{Received by the editors on April 20, 2010. Accepted for publication on October 22, 2010.}

Handling Editor: Robert Guralnick.

†_{College of Mathematics, Jilin University, Changchun 130012, PR China (xuxw@jlu.edu.cn,}

zlzxzhy@163.com). Supported by the NNSF of China (No. 10871023 and No. 11071097), 211 Project, 985 Project and the Basic Foundation for Science Research from Jilin University.

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 20, pp. 753-759, December 2010