Abstract
In this paper we study some properties of centralizing mappings on semi-prime rings. The main purpose is to prove the result: Let R be a semiprime ring and f an endomorphism of R, g an epimorphism of R such that the mapping x → [f(x),g(x)] is central. Then [f(x),g(x)] = 0 holds for all x ∈ R. We also establish some results about (α, β)-derivations.
| Original language | English |
|---|---|
| Pages (from-to) | 285-292 |
| Number of pages | 8 |
| Journal | Demonstratio Mathematica |
| Volume | 37 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 2004 |
Bibliographical note
Publisher Copyright:© Copyright 2018 by Walter de Gruyter GmbH.
Keywords
- (α
- Automorphism
- Centralizing map
- Commuting map
- Derivation
- Prime ring
- Semiprime ring
- α-derivation
- β)-derivation
ASJC Scopus subject areas
- General Mathematics
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