Volume no :3, Issue no: 2, June (2010)

DERIVATION PROPERTIES IN PRIME NEAR-RINGS

Author's: Yong Uk Cho
Pages: [71] - [77]
Received Date: March 20, 2010; Revised April 24, 2010
Submitted by: Dae San Kim

Abstract

In this paper, N will denote a zero-symmetric left near-ring. A near-ring N is called a prime near-ring, if N has the property that for implies or N is called a semiprime near-ring, if N has the property that for implies We will investigate some properties of derivations in prime and semiprime near-rings as Theorems 2.5, 2.7, and 2.9.

Keywords

derivation, prime near-ring, semiprime near-ring, N-subset.