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A study on weak bi-ideals of near-rings
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From the notion of bi-ideals in near-rings, 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 some characterizations using this concept in left self distributive near-rings.
Abstract
From the notion of bi-ideals in near-rings, 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 some characterizations using this concept in left self distributive near-rings.
참고문헌 (6)
- J. L. Jat, "On left bi-potent near-rings", Proc. of the Edinburgh Mathematical Society, 23, pp.99~107 (1979)
- L. Kovacs, "A note on regular rings", Publ. Math. Debrecen, 4, pp.465~468 (1956)
- G. Pilz, "Near-rings" (1983), North Holland
- T. Tamizh Chelvam, "On Bi-ideals of near-rings", Indian J. Pure appl. Math, 18(11), pp.1002~1005 (1987)
- T. Tamizh Chelvam, "Bi-ideals and b-regular near-rings", J. Ramanujan Math. Soc, 7, pp.155~164 (1982)
- T. Tamizh Chelvam, "Bi-regular near-rings", The Mathematics Student, 62(1), pp.89~92 (1993)
관련 논문AI추천
Weak Bi-ideals of Near-rings조용욱, S. Jayalakshmi, T. Tamizh Chelvam한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제3호P-STRONGLY REGULAR NEAR-RINGSC. Jenila, P. Dheena대한수학회 · 대한수학회논문집2012 · 제27권 제3호Homomorphism and anti homomorphism of cubic ideals of near-ringsK. Lenin muthu kumaran, V. Chinnadurai기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제4호SOME RESULTS ON REDUCIBILITY AND STRONG REDUCIBILITY조용욱영남수학회 · East Asian Mathematical Journal2010 · 제26권 제3호A note on $\delta$-quasi fuzzy subnear-rings and idealsGaikhangning Gangmei, O. Ratnabala Devi강원경기수학회 · 한국수학논문집2020 · 제28권 제1호Weakly prime left ideals in near-subtraction semigroupsG. Satheesh Kumar, P. Dheena대한수학회 · 대한수학회논문집2008 · 제23권 제3호
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