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Some results on π-regularity and πS-unitality
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In this paper, we begin with to show the characterization of regularity and S-unitality in near-rings, also consider their application. Next, we introduce more general concepts of regularity and S-unitality, that is, π-regularity and πS-unitality and then give some examples in near-rings, also investigate their characterization and properties.
Abstract
In this paper, we begin with to show the characterization of regularity and S-unitality in near-rings, also consider their application. Next, we introduce more general concepts of regularity and S-unitality, that is, π-regularity and πS-unitality and then give some examples in near-rings, also investigate their characterization and properties.
참고문헌 (12)
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- H. E. Heatherly, "On regular near-rings", J. Indian Math. Soc, 38, pp.345~354 (1974)
- Y. Hirano, "Regular rings, V-rings and their generalizations", Hiroshima Math. J, 9, pp.137~149 (1979)
- M. Hongan, "Note on strongly regular near-rings", Proc. Edn Math. Soc, 29, pp.379~381 (1986)
- S. Ligh, "On regular near-rings", Math. Japon, 15, pp.7~13 (1970)
- G. Mason, "Strongly regular near-rings", Proc. Edn. Math. Soc., 23, pp.27~36 (1980)
- G. Mason, "A note on strong forms of regularity for near-rings", Indian J. of Math, 40(2), pp.149~153 (1998)
- M. Ohori, "On strongly π-regular rings and periodic rings", Math. J. Okayama Univ, 27, pp.49~52 (1985)
- G. Pilz, "Near-rings", North Holland Publishing Company, Amsterdam, New York, Oxford, ~ (1983)
관련 논문AI추천
SOME RESULTS ON REDUCIBILITY AND STRONG REDUCIBILITY조용욱영남수학회 · East Asian Mathematical Journal2010 · 제26권 제3호ON NEAR-RINGS WITH STRONG REGULARITY조용욱한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제2호Structure of $3$-prime near-rings satisfying some identitiesAbdelkarim Boua대한수학회 · 대한수학회논문집2019 · 제34권 제1호Morphic Elements in Regular Near-ringsAlex Samuel Bamunoba, David Ssevviiri, Philly Ivan Kimuli경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제4호P-STRONGLY REGULAR NEAR-RINGSC. Jenila, P. Dheena대한수학회 · 대한수학회논문집2012 · 제27권 제3호On regular near-rings with (m,n)-potent conditions조용욱영남수학회 · East Asian Mathematical Journal2009 · 제25권 제4호
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