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ISSN : 1226-0657

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Vol.17 No.2
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ON NEAR-RINGS WITH STRONG REGULARITY

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2010, v.17 no.2, pp.131-136
Cho, Yong-Uk
Cho,, Y. (2010). ON NEAR-RINGS WITH STRONG REGULARITY. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 17(2), 131-136.
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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<tex> $\kappa$</tex>-regular, strongly reduced and left semi-central

Reference

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Cho, Yong-Uk. (2008). NEAR-RINGS WITH LEFT BAER LIKE CONDITIONS. Bulletin of the Korean Mathematical Society, 45(2), 263-267. 10.4134/BKMS.2008.45.2.263.

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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