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Semiprime Rings with Hypercentral Derivations

Published online by Cambridge University Press:  20 November 2018

Tsiu-Kwen Lee
Tsiu-Kwen Lee*
Affiliation:
Department of Mathematics National Taiwan University Taipei, Taiwan 10764
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Abstract

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Let R be a semiprime ring with a derivation d, λ a left ideal of R and k, n two positive integers. Suppose that [d(xn),xn]k = 0 for all x ∊ λ. Then [λ,R]d(R) = 0. That is, there exists a central idempotent e ∊ U, the left Utumi quotient ring of R, such that d vanishes identically on eU and λ(l — e) is central in (1 — e)U

Keywords

16W2516N60semiprime ringsderivationsdifferential identities
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 4 , 01 December 1995 , pp. 445 - 449
Copyright
Copyright © Canadian Mathematical Society 1995

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