SOME RESULTS CONCERNING (？; ')-DERIVATIONS ON PRIME RINGS

Park, Kyoo-Hong; Park, Kyoo-Hong; Jung Yong-Soo; Jung Yong-Soo

오늘 하루 그만보기

P-ISSN3059-0604
E-ISSN3059-1309
KCI

Home

OA Policy

ISSN : 3059-0604

Article Contents

Prev Next

e-Submission

Vol.10 No.4

PDF Citation

SOME RESULTS CONCERNING (？; ')-DERIVATIONS ON PRIME RINGS

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

2003, v.10 no.4, pp.207-215

Park, Kyoo-Hong
Jung Yong-Soo

Park,, K. , & Jung, Y. (2003). SOME RESULTS CONCERNING (？; ')-DERIVATIONS ON PRIME RINGS, 10(4), 207-215.

copy

Abstract

Let R be a prime ring with characteristic different from two and let $\theta,\varphi,\sigma,\tau$ be the automorphisms of R. Let d : $R{\rightarrow}R$ be a nonzero ($\theta,\varphi$)-derivation. We prove the following results: (i) if $a{\in}R$ and [d(R), a]$_{{\theta}o{\sigma},{\varphi}o{\tau}}$=0, then $\sigma(a)\;+\;\tau(a)\;\in\;Z$, the center of R, (ii) if $d([R,a]_{\sigma,\;\tau)\;=\;0,\;then\;\sigma(a)\;+\;\tau(a)\;\in\;Z$, (iii) if $[ad(x),\;x]_{\sigma,\;\tau}\;=\;0;for\;all\;x\;\in\;RE$, then a = 0 or R is commutative.

keywords: prime ring, (&lt, TEX&gt, $\theta, \, \varphi$&lt, /TEX&gt, )-derivation, (&lt, TEX&gt, $\sigma, \, \tau$&lt, /TEX&gt, )-Lie ideal

바로가기메뉴

Article Contents

Vol.10 No.4

SOME RESULTS CONCERNING (？; ')-DERIVATIONS ON PRIME RINGS

Abstract

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics