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ON NEAR-RINGS WITH STRONG REGULARITY  

Cho, Yong-Uk (DEPARTMENT OF MATHEMATICS, SILLA UNIVERSITY)
Publication Information
The Pure and Applied Mathematics / v.17, no.2, 2010 , pp. 131-136 More about this Journal
Abstract
Throught this paper, we will investigate some properties of left regular and strongly reduced near-rings. Mason introduced the notion of left regularity and he characterized left regular zero-symmetric unital near-rings. Also, this concept have been studied by several authors. The purpose of this paper is to find some characterizations of the strong reducibility in near-rings, and the strong regularity in near-rings which are closely related with strongly reduced near-rings.
Keywords
left regular; right regular; strongly regular; strongly right regular; left$\kappa$-regular; strongly reduced and left semi-central;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Cho, Y.: Near-rings with left Baer like conditions. Bull. Korean Math. Soc. 45 (2008), no. 2, 263-267.   과학기술학회마을   DOI
2 Cho, Y.: Characterizations of left regularity. Far East J. Math. Soc., to appear.
3 Mason, G.: A note on strong forms of regularity for near-rings. Indian J. Math. 40 (1998), no. 2, 149-153.
4 Murty, C. V. L. N.: Generalized near-fields. Proc. Edinburgh Math. Soc. 27 (1984), 21-24.   DOI
5 Pilz, G.: Near-Rings. North-Holland Publishing Company, Amsterdam, New York, Ox-ford, 1983.
6 Reddy, Y.V. & Murty, C. V. L. N.: On strongly regular near-rings. Proc. Edinburgh Math. Soc. 27 (1984), 61-64.   DOI