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NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS

Year 2014, , 56 - 65, 01.06.2014
https://doi.org/10.24330/ieja.266237

Abstract

Let T be a triangular ring. We say that a family of maps δ ={δn, δn : T → T , n ∈ N} is a Jordan higher derivable map (without assumption
of additivity or continuity) if δn(AB + BA) = Pi+j=n[δi(A)δj (B) +δj (B)δi(A)] for all A, B ∈ T . In this paper, we show that every Jordan higher
derivable map on a triangular ring is a higher derivation. As its application, we
get that every Jordan higher derivable map on an irreducible CDCSL algebra
or a nest algebra is a higher derivation, and new characterizations of higher
derivations on these algebras are obtained.

Year 2014, , 56 - 65, 01.06.2014
https://doi.org/10.24330/ieja.266237

Abstract

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Details

Other ID JA85RF74KA
Journal Section Articles
Authors

Chunhui Xue This is me

Runling An This is me

Huiyuan Zhang This is me

Publication Date June 1, 2014
Published in Issue Year 2014

Cite

APA Xue, C., An, R., & Zhang, H. (2014). NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS. International Electronic Journal of Algebra, 15(15), 56-65. https://doi.org/10.24330/ieja.266237
AMA Xue C, An R, Zhang H. NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS. IEJA. June 2014;15(15):56-65. doi:10.24330/ieja.266237
Chicago Xue, Chunhui, Runling An, and Huiyuan Zhang. “NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS”. International Electronic Journal of Algebra 15, no. 15 (June 2014): 56-65. https://doi.org/10.24330/ieja.266237.
EndNote Xue C, An R, Zhang H (June 1, 2014) NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS. International Electronic Journal of Algebra 15 15 56–65.
IEEE C. Xue, R. An, and H. Zhang, “NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS”, IEJA, vol. 15, no. 15, pp. 56–65, 2014, doi: 10.24330/ieja.266237.
ISNAD Xue, Chunhui et al. “NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS”. International Electronic Journal of Algebra 15/15 (June 2014), 56-65. https://doi.org/10.24330/ieja.266237.
JAMA Xue C, An R, Zhang H. NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS. IEJA. 2014;15:56–65.
MLA Xue, Chunhui et al. “NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS”. International Electronic Journal of Algebra, vol. 15, no. 15, 2014, pp. 56-65, doi:10.24330/ieja.266237.
Vancouver Xue C, An R, Zhang H. NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS. IEJA. 2014;15(15):56-65.