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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.13 No.4

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SEMIPRIME NEAR-RINGS WITH ORTHOGONAL DERIVATIONS

Semiprime Near-Rings with Orthogonal Derivations

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2006, v.13 no.4, pp.303-310
Park, Kyoo-Hong (DEPARTMENT OF MATHEMATICS EDUCATION, SEOWON UNIVERSITY)
Jung, Yong-Soo (DEPARTMENT OF MATHEMATICS, SUNMOON UNIVERSITY)
Park, Kyoo-Hong, & Jung, Yong-Soo. (2006). SEMIPRIME NEAR-RINGS WITH ORTHOGONAL DERIVATIONS, 13(4), 303-310.

Abstract

M. $Bre\v{s}ar$ and J. Vukman obtained some results concerning orthogonal derivations in semiprime rings which are related to the result that is well-known to a theorem of Posner for the product of two derivations in prime rings. In this paper, we present orthogonal generalized derivations in semiprime near-rings.

keywords
derivation, orthogonal derivation, generalized derivation, orthogonal generalized derivation, prime near-ring, semiprime near-ring

한국수학교육학회지시리즈B:순수및응용수학

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