Piotr Grzeszczuk
Abstract
Let d b e a nilpotent derivation of a semiprime ring R. It is proved that the subring of constants is non-nilpotent. The result is applied to algebraic derivations of semiprime algebras and to the actions of certain finite dimensional Lie algebras on semiprime associative algebras.
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Let d b e a nilpotent derivation of a semiprime ring R. It is proved that the subring of constants is non-nilpotent. The result is applied to algebraic derivations of semiprime algebras and to the actions of certain finite dimensional Lie algebras on semiprime associative algebras.
Key concepts: Subring, Mathematics, Semiprime, Semiprime ring, Pure mathematics, Nilpotent, Associative property, Ring (chemistry)