On Two-Sided Centralizers of Rings and Algebras
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Joso Vukman
joso.vukman@uni-mb.si
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Irena Kosi-Ulbl
irena.kosi@uni-mb.si
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Abstract
In this paper we prove the following result. Let A be a semisimple H*−algebra and let T : A → A be an additive mapping satisfying the relation (n + 1)T(xnm+1) = T(x)xnm + xmT(x)x(n−1)m + · · · + xnmT(x), for all x ∈ A and some fixed integers m ≥ 1, n ≥ 1. In this case T is a two-sided centralizer.
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Published
2008-10-01
How to Cite
[1]
J. Vukman and I. Kosi-Ulbl, “On Two-Sided Centralizers of Rings and Algebras”, CUBO, vol. 10, no. 3, pp. 211–222, Oct. 2008.
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