Generalized Jordan triple (θ, φ)-derivations on semiprime rings

Cheng Kai Liu, Wen Kwei Shiue

Research output: Contribution to journal › Article

28 Citations (Scopus)

Abstract

Let R be a 2-torsion free semiprime ring. In this paper we will show that every Jordan triple(θ, φ)-derivation on R is a (θ, φ)-derivation. Also every Jordan triple left centralizer on R is a left centralizer. As a consequence, every generalized Jordan triple (θ, φ)-derivation on R is a generalized (θ, φ)-derivation. This result gives an affirmative answer to the question posed by Wu and Lu in [14].

Original languageEnglish
Pages (from-to)1397-1406
Number of pages10
JournalTaiwanese Journal of Mathematics
Volume11
Issue number5
DOIs
Publication statusPublished - 2007 Jan 1

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Semiprime Ring
Centralizer
Generalized Derivation
Torsion-free

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Liu, Cheng Kai ; Shiue, Wen Kwei. / Generalized Jordan triple (θ, φ)-derivations on semiprime rings. In: Taiwanese Journal of Mathematics. 2007 ; Vol. 11, No. 5. pp. 1397-1406.
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Liu, CK & Shiue, WK 2007, 'Generalized Jordan triple (θ, φ)-derivations on semiprime rings', Taiwanese Journal of Mathematics, vol. 11, no. 5, pp. 1397-1406. https://doi.org/10.11650/twjm/1500404872

Generalized Jordan triple (θ, φ)-derivations on semiprime rings. / Liu, Cheng Kai; Shiue, Wen Kwei.

In: Taiwanese Journal of Mathematics, Vol. 11, No. 5, 01.01.2007, p. 1397-1406.

Research output: Contribution to journal › Article

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Liu CK, Shiue WK. Generalized Jordan triple (θ, φ)-derivations on semiprime rings. Taiwanese Journal of Mathematics. 2007 Jan 1;11(5):1397-1406. https://doi.org/10.11650/twjm/1500404872

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