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A Result on Derivations with Algebraic Values

Published online by Cambridge University Press:  20 November 2018

Onofrio M. Di Vincenzo
Onofrio M. Di Vincenzo*
Affiliation:
Istituto Di Matematica Università Di Palermo Via Archirafi 34 90123 Palermo, Italy
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Abstract

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Let R be a prime algebra over a field F and let d be a non-zero derivation in R such that for every x ∊ R, d(x) is algebraic over F of bounded degree. Then R is a primitive ring with a minimal right ideal eR, where e2 = e and eRe is a finite dimensional central division algebra.

Keywords

16A72

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 4 , 01 December 1986 , pp. 432 - 437
Copyright
Copyright © Canadian Mathematical Society 1986

References

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