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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

WEAK BI-IDEALS OF NEAR-RINGS

Weak Bi-ideals of Near-rings

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2007, v.14 no.3, pp.153-159
Cho, Yong-Uk (DEPARTMENT OF MATHEMATICS EDUCATION, COLLEGE OF EDUCATION, SILLA UNIVESITY)
Chelvam, T. Tamizh (DEPARTMENT OF MATHEMATICS, MANONMANIAM SUNDARANAR UNIVERSITY)
Jayalakshmi, S. (DEPARTMENT OF MATHEMATICS, SRI PARASAKTHI COLLEGE FOR WOMEN)

Abstract

The notion of bi-ideals in near-rings was effectively used to characterize the near-fields. Using this notion, various generalizations of regularity conditions have been studied. In this paper, we generalize further the notion of bi-ideals and introduce the notion of weak bi-ideals in near-rings and obtain various characterizations using the same in left self distributive near-rings.

keywords
near-rings, bi-ideals, weak bi-ideals, left self distributive, strongly regular

한국수학교육학회지시리즈B:순수및응용수학