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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.14 No.3

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Weak Bi-ideals of Near-rings

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2007, v.14 no.3, pp.153-159
Cho, Yong-Uk
Chelvam, T. Tamizh
Jayalakshmi, S.
Cho,, Y. , Chelvam,, T. T. , & Jayalakshmi,, S. (2007). Weak Bi-ideals of Near-rings. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 14(3), 153-159.

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: The Pure and Applied Mathematics

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