A Result on Derivations with Algebraic Values
Canadian mathematical bulletin, Tome 29 (1986) no. 4, pp. 432-437
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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.
Vincenzo, Onofrio M. Di. A Result on Derivations with Algebraic Values. Canadian mathematical bulletin, Tome 29 (1986) no. 4, pp. 432-437. doi: 10.4153/CMB-1986-068-5
@article{10_4153_CMB_1986_068_5,
author = {Vincenzo, Onofrio M. Di},
title = {A {Result} on {Derivations} with {Algebraic} {Values}},
journal = {Canadian mathematical bulletin},
pages = {432--437},
year = {1986},
volume = {29},
number = {4},
doi = {10.4153/CMB-1986-068-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-068-5/}
}
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