• STRONG COMMUTATIVITY – PRESERVING DERIVATIONS ON NEAR-RINGS

Prof. K. Suvarna, T. Madhavi*

Abstract


Bell and Mason [1] studies derivations in Near-rings and Near-fields. In this paper we present some properties of Strong Commutativity- Preserving derivations in left near-rings. We prove that if N is left near-ring with U as a right ideal which contains no zero devisors of N and d is a nonzero commuting scp – derivation on U, then N is commutative.


Keywords


Prime near-ring, derivation, ideal, strong commutativity-preserving derivation.

Full Text:

PDF


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2020 International Journal of Mathematical Archive (IJMA)
Copyright Agreement & Authorship Responsibility
Web Counter