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

Weak Bi-ideals of Near-rings

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / 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
Chelvam, T. Tamizh
Jayalakshmi, S.

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

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics