质环的导子与归联理想半群

On Derivation and Adjoint Ideal Semigroup of Prime Rings

本文给出了几个特征非2的质环为可换环的条件。

Let R be a prime ring with chR≠2, center Z and d≠0 be a derivation and S a non-zero adjoint ideal semigroup of R. If any one of the following conditions is satisfied: (1)[s,d(s)]∈Z, s_∈S; (2)[d(S),d(S)]Z; (3)d^2(S)Z; (4)dδ(S)Z for some derivationδand δ/= 0, then R is commutative.