학술저널
Derivations on Semiprime Rings and Banach Algebras, I
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 7, No. 1
-
1994.06165 - 182 (18 pages)
- 0
The aim of this paper is to give the partial answer of Vukman’s conjecture [2]. From the partial answer we also generalize a classical result of Posner. We prove the following result: Let R be a prime ring with char(R)≠2, 3, and 5. Suppose there exists a nonzero derivation D : R → R such that the mapping x → [[[Dx, x], x], x] is centralizing on R. Then R is commutative. Using this result and some results of Sinclair and Johnson, we generalize Yood’s noncom-mutative extension of the Singer-Wermer theorem.
ABSTRACT
1. Introduction
2. Main Results
REFERENCES
(0)
(0)