Derivations with Nilpotent Values on Γ-rings

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2014, v.21 no.4, pp.237-246

https://doi.org/10.7468/jksmeb.2014.21.4.237

Dey, Kalyan Kumar (Department of Mathematics, Rajshahi University)
Paul, Akhil Chandra (Department of Mathematics, Rajshahi University)
Davvaz, Bijan (Department of Mathematics, Yazd University)

Dey, Kalyan Kumar, Paul, Akhil Chandra, & Davvaz, Bijan. (2014). DERIVATIONS WITH NILPOTENT VALUES ON Γ-RINGS. 한국수학교육학회지시리즈B:순수및응용수학, 21(4), 237-246, https://doi.org/10.7468/jksmeb.2014.21.4.237

복사

Abstract

Let M be a prime <TEX>${\Gamma}$</TEX>-ring and let d be a derivation of M. If there exists a fixed integer n such that <TEX>$(d(x){\alpha})^nd(x)=0$</TEX> for all <TEX>$x{\in}M$</TEX> and <TEX>${\alpha}{\in}{\Gamma}$</TEX>, then we prove that d(x) = 0 for all <TEX>$x{\in}M$</TEX>. This result can be extended to semiprime <TEX>${\Gamma}$</TEX>-rings.

keywords: <tex> ${\Gamma}$</tex>-ring, prime <tex> ${\Gamma}$</tex>-ring, semiprime <tex> ${\Gamma}$</tex>-ring, derivation, nilpotent <tex> ${\Gamma}$</tex>-ring

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논문 상세

Vol.21 No.4

DERIVATIONS WITH NILPOTENT VALUES ON Γ-RINGS

Derivations with Nilpotent Values on Γ-rings

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학