Article contents
SKEW DERIVATIONS WITH CENTRAL INVARIANTS
Published online by Cambridge University Press: 01 February 1999
Abstract
If σ is an automorphism and δ is a σ-derivation of a ring R, then the subring of invariants is the set R(δ)={r∈R[mid ]δ(r)=0}. The main result of this paper is ‘let R be a semiprime ring with an algebraic σ-derivation δ such that R(δ) 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.
- Type
- Notes and Papers
- Information
- Copyright
- The London Mathematical Society 1999
- 6
- Cited by