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.
Cho,,
Y.
, Chelvam,,
T.
T.
, &
Jayalakshmi,,
S.
(2007). Weak Bi-ideals of Near-rings. , 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