A NOTE ON TWO OF VUKMAN'S CONJECTURES

Authors

  • B. Fahid Department of Mathematics, Faculty of Sciences, B.P. 1014, Mohammed V University in Rabat, Morocco Author

Keywords:

von Neumann regular ring, semiprime ring, Jordan triple derivation, (m,n)-Jordan triple centralizer

Subjects:

16E50, 16W25, 16N60, 16W99

Abstract

In this paper we prove, under certain condition, when R is a semiprime ring with suitable characteristic restrictions, that every nonzero (m,n)-Jordan triple centralizer (resp., (m,n)-Jordan triple derivation) is a two-sided centralizer (resp., a derivation which maps R into Z(R)). This give partial affirmative answers to two conjectures of Vukman.

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Published

2019-07-15

Issue

Vol. 71 No. 3 (2019): Vol. 71, Issue 3

Section

Articles

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Copyright (c) 2019 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.