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Lie Ideals and Central Identities With Derivation
Published online by Cambridge University Press: 20 November 2018
Abstract
In this paper we consider various degree two central polynomials with derivation, holding for Lie ideals in prime rings. The results give substantial generalizations of the existing ones on central and semi-centralizing derivations, and show essentially that there are no central identities of the form p(x,y) = c1xyD + C2XDy + c3yxD + C4yDx, where D is a nonzero derivation of the prime ring R.
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- Copyright © Canadian Mathematical Society 1992
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