Abstract
If r is an automorphism and d is a r-derivation of a ring R, then the subring of invariants is the set R(d) fl† r ‘ R r d(r) fl 0·. The main result of this paper is ‘let R be a semiprime ring with an algebraic r-derivation d such that R(d) is central; then R is commutative’. This theorem generalizes results on the invariants of automorphisms and derivations and is proved by reducing down to the special cases of automorphisms and derivations.
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