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- Title
Left Derivations and Strong Commutativity Preserving Maps on Semiprime г-Rings.
- Authors
Xu, X. W.; Ma, J.; Zhou, Y.
- Abstract
In this paper, firstly as a short note, we prove that a left derivation of a semiprime Γ-ring M must map M into its center, which improves a result by A.C. Paul and A.K. Halder and some results by M. Asci and S. Ceran. Also we prove that a semiprime Γ-ring with a strong commutativity preserving derivation on itself must be commutative and that a strong commutativity preserving endomorphism on a semiprime Γ-ring M must have the form σ(x) = x + ζ(x) where ζ is a map from M into its center, which extends some results by Bell and Daif to semiprime Γ-rings.
- Subjects
PAUL, A. C.; HALDER, A. K.; P-adic numbers; NUMBER theory; PRIME numbers
- Publication
Southeast Asian Bulletin of Mathematics, 2015, Vol 39, Issue 5, p735
- ISSN
0129-2021
- Publication type
Article