한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제17권2호
  • /
  • Pages.131-136
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  • 2010
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
권호 표지

ON NEAR-RINGS WITH STRONG REGULARITY

  • Cho, Yong-Uk (DEPARTMENT OF MATHEMATICS, SILLA UNIVERSITY)
  • 투고 : 2009.04.09
  • 심사 : 2010.05.09
  • 발행 : 2010.05.31
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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 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.

키워드

참고문헌

  1. Cho, Y.: Near-rings with left Baer like conditions. Bull. Korean Math. Soc. 45 (2008), no. 2, 263-267. https://doi.org/10.4134/BKMS.2008.45.2.263
  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. https://doi.org/10.1017/S0013091500022070
  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. https://doi.org/10.1017/S0013091500022136