Geodesic
Extending Derivations and Endomorphisms to Skew Polynomial Rings
Publications de l'Institut Mathématique, _N_S_39 (1986) no. 53, p. 79

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We treat the problem of extending derivations and endomorphisms of a given ring $R$ to a skew polynomial ring $R[x,f,d]$ over $R$. As an application we obtain the general conditions for the existence of such rings in finitely many variables over $R$. We also prove that under suitable conditions, the $d$ (or the $f$)-simplicity of $R$ implies the $f$-simplicity of $R[x,f,d]$.
Classification : 16A05 
Michael G. Voskoglou. Extending Derivations and Endomorphisms to Skew Polynomial Rings. Publications de l'Institut Mathématique, _N_S_39 (1986) no. 53, p. 79 . http://geodesic.mathdoc.fr/item/PIM_1986_N_S_39_53_a11/
@article{PIM_1986_N_S_39_53_a11,
     author = {Michael G. Voskoglou},
     title = {Extending {Derivations} and {Endomorphisms} to {Skew} {Polynomial} {Rings}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {79 },
     year = {1986},
     volume = {_N_S_39},
     number = {53},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1986_N_S_39_53_a11/}
}
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