[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2012.28.3.281

GENERALIZED PRIME IDEALS IN NON-ASSOCIATIVE NEAR-RINGS I

Cho, Yong-Uk (Department of Mathematics, College of Education, Silla University)

Publication Information

East Asian mathematical journal / v.28, no.3, 2012 , pp. 281-285 More about this Journal

Abstract

In this paper, the concept of *-prime ideals in non-associative near-rings is introduced and then will be studied. For this purpose, first we introduce the notions of *-operation, *-prime ideal and *-system in a near-ring. Next, we will define the *-sequence, *-strongly nilpotent *-prime radical of near-rings, and then obtain some characterizations of *-prime ideal and *-prime radical $r_s$ (I) of an ideal I of near-ring N.

Keywords

Non-associative near-rings; *-prime ideal; *-system; *-strongly nilpotent and *-prime radical;

Citations & Related Records

Reference

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