ON NEAR-RINGS WITH STRONG REGULARITY
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초록
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 ¯nd some characterizations of the strong re-ducibility in near-rings, and the strong regularity in near-rings which are closely related with strongly reduced near-rings.
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 ¯nd some characterizations of the strong re-ducibility in near-rings, and the strong regularity in near-rings which are closely related with strongly reduced near-rings.
참고문헌 (6)
- 조용욱, "Near-rings with left Baer like conditions", 대한수학회보, 45(2), pp.263~267 (2008), 대한수학회
- Cho, Y., "Characterizations of left regularity", Far East J. Math. Soc.
- Mason, G., "A note on strong forms of regularity for near-rings", Indian J. Math, 40(2), pp.149~153 (1998)
- Murty, C. V. L. N., "Generalized near-fields", Proc. Edinburgh Math. Soc, 27, pp.21~24 (1984)
- Pilz, G., "Near-Rings" (1983), North-Holland Publishing Company
- Reddy, Y.V., "On strongly regular near-rings", Proc. Edinburgh Math. Soc, 27, pp.61~64 (1984)