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Products of derivations
Published online by Cambridge University Press: 20 January 2009
Abstract
We prove that if the product of two derivations on an algebra is a derivation, then the product maps the algebra into its nilradical. As a consequence we obtain a characterisation of when the product of two derivations on a semiprime algebra is a derivation. We also give a condition on two derivations on a Banach algebra which implies that their product has range contained in the Jacobson radical.
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- Copyright © Edinburgh Mathematical Society 1998
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