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Characterizations of Lie higher and Lie triple derivations on triangular algebras

Jiankui Li|Qihua Shen
대한수학회 (The Korean Mathematical Society)|2012.03|대한수학회지 (Journal of the KMS)|제49권 제2호|pp. 419-433

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참고문헌

키워드

triangular algebraLie derivationLie triple derivationLie higher derivation
주제분류수학

초록

In this paper, we show that under certain conditions every Lie higher derivation and Lie triple derivation on a triangular algebra are proper, respectively. The main results are then applied to (block) upper triangular matrix algebras and nest algebras.

Abstract

In this paper, we show that under certain conditions every Lie higher derivation and Lie triple derivation on a triangular algebra are proper, respectively. The main results are then applied to (block) upper triangular matrix algebras and nest algebras.

참고문헌 (15)

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  10. A. Nakajima, "On generalized higher derivations", Turkish J. Math, 24(3), pp.295~311 (2000)
  11. X. F. Qi, "Lie higher derivations on Nest Algebras", Commun. Math. Res, 26(2), pp.131~143 (2010)
  12. H. T. Wang, "Lie triple derivation of the Lie algebra of strictly upper triangular matrix over a commutative ring", Linear Algebra Appl, 430(1), pp.66~77 (2009)
  13. T. L. Wong, "Jordan isomorphisms of triangular rings", Proc. Amer. Math. Soc, 133(11), pp.3381~3388 (2005)
  14. Z. K. Xiao, "Jordan higher derivations on triangular algebras", Linear Algebra Appl, 432(10), pp.2615~2622 (2010)
  15. J. H. Zhang, "Lie triple derivations of nest algebras", Linear Algebra Appl, 416(2), pp.559~567 (2006)

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