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

ISSN : 1226-0657

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Vol.13 No.4

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Semiprime Near-Rings with Orthogonal Derivations

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
2006, v.13 no.4, pp.303-310
Park, Kyoo-Hong
Jung, Yong-Soo
Park,, K. , & Jung,, Y. (2006). Semiprime Near-Rings with Orthogonal Derivations. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 13(4), 303-310.

Abstract

M. <TEX>$Bre\v{s}ar$</TEX> 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

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

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