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.

Downloads

Published

2019-07-15

Issue

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

Section

Articles

License

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

Creative Commons License

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