Geodesic
Derivations in Prime Rings
Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 267-270

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DOI

Let R be a prime ring and d≠0 a derivation of R. We examine the relationship between the structure of R and that of d(R). We prove that if R is an algebra over a commutative ring A such that d(R) is a finitely generated submodule then R is an order in a simple algebra finite dimensional over its center.
DOI : 10.4153/CMB-1983-042-2
Mots-clés : 16A72 
Bergen, Jeffrey. Derivations in Prime Rings. Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 267-270. doi: 10.4153/CMB-1983-042-2
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     author = {Bergen, Jeffrey},
     title = {Derivations in {Prime} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {267--270},
     year = {1983},
     volume = {26},
     number = {3},
     doi = {10.4153/CMB-1983-042-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-042-2/}
}
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