WEAK BI-IDEALS OF NEAR-RINGS
Weak Bi-ideals of Near-rings
한국수학교육학회지시리즈B:순수및응용수학 / 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
(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)
Cho, Yong-Uk,
Chelvam, T. Tamizh,
&
Jayalakshmi, S..
(2007). WEAK BI-IDEALS OF NEAR-RINGS. 한국수학교육학회지시리즈B:순수및응용수학, 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
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near-rings,
bi-ideals,
weak bi-ideals,
left self distributive,
strongly regular