Jordan Derivations on Rings

Authors

  • Orapin Wootijiruttikal Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand.
  • Utsanee Leerawat Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand.

Keywords:

derivation, Jordan derivation, ring

Abstract

An additive mapping d : R→R is called a Jordan derivation on a ring R if d(a2) = d(a)a + ad(a) for all a ∈ R. Two general forms of dn(aba) and dn (abc+cba), where a,b,c ∈ R and n ∈ , are established. It is also shown that if d is a Jordan derivation on a commutative ring R and P is a semiprime
ideal or prime ideal of R where R/P is characteristic – free, then d(P) ⊆ P if and only if dn (P) ⊆P for all positive integers n ≥ 2.

Downloads

Published

2006-02-28

How to Cite

Orapin Wootijiruttikal, and Utsanee Leerawat. 2006. “Jordan Derivations on Rings”. Agriculture and Natural Resources 40 (1). Bangkok, Thailand:260-63. https://li01.tci-thaijo.org/index.php/anres/article/view/243558.

Issue

Vol. 40 No. 1 (2006): January-February

Section

Research Article

License

online 2452-316X print 2468-1458/Copyright © 2022. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/),
production and hosting by Kasetsart University of Research and Development Institute on behalf of Kasetsart University.