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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.8 No.2

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SOME CONDITIONS ON DERIVATIONS IN PRIME NEAR-RINGS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2001, v.8 no.2, pp.145-152
Cho, Yong-Uk (Department of Mathematics, Silla University)
Cho, Yong-Uk. (2001). SOME CONDITIONS ON DERIVATIONS IN PRIME NEAR-RINGS. 한국수학교육학회지시리즈B:순수및응용수학, 8(2), 145-152.

Abstract

Posner [Proc. Amer. Math. Soc. 8 (1957), 1093-1100] defined a derivation on prime rings and Herstein [Canad, Math. Bull. 21 (1978), 369-370] derived commutative property of prime ring with derivations. Recently, Bergen [Canad. Math. Bull. 26 (1983), 267-227], Bell and Daif [Acta. Math. Hunger. 66 (1995), 337-343] studied derivations in primes and semiprime rings. Also, in near-ring theory, Bell and Mason [Near-Rungs and Near-Fields (pp. 31-35), Proceedings of the conference held at the University of Tubingen, 1985. Noth-Holland, Amsterdam, 1987; Math. J. Okayama Univ. 34 (1992), 135-144] and Cho [Pusan Kyongnam Math. J. 12 (1996), no. 1, 63-69] researched derivations in prime and semiprime near-rings. In this paper, Posner, Bell and Mason＇s results are extended in prime near-rings with some conditions.

keywords
prime near-rings, semiprime near-rings, right N-subsets, N-subsets, derivations

한국수학교육학회지시리즈B:순수및응용수학

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