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Centralisers on rings and algebras
Joso Vukman, Irena Kosi-Ulbl
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Source: Crossref
Published: Apr 1, 2005
DOI: 10.1017/s000497270003820x
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In this paper we investigate identities related to centralisers in rings and algebras. We prove, for example, the following result. Let A be a semisimple H * -algebra and let T : A → A be an additive mapping satisfying the relation T ( x m+n+1 ) = x m T ( x ) x n for all x ∈ A and some integers m ≥ 1, n ≥ 1. In this case T is a left and a right centraliser.
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