Semiprime Near-Rings with Orthogonal Derivations

한국수학교육학회지시리즈B:순수및응용수학 / 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 (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. 한국수학교육학회지시리즈B:순수및응용수학, 13(4), 303-310.

복사

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

바로가기메뉴

논문 상세

Vol.13 No.4

SEMIPRIME NEAR-RINGS WITH ORTHOGONAL DERIVATIONS

Semiprime Near-Rings with Orthogonal Derivations

Abstract

한국수학교육학회지시리즈B:순수및응용수학