Geodesic
Simple Skew Polynomial Rings
Publications de l'Institut Mathématique, _N_S_37 (1985) no. 51, p. 37 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We treat two questions. First we give the general conditions for the existence of skew polynomial rings in finitely many variables over a given ring $R$ (special cases of such rings are well, known, typifield by the $n$-th Weyl Algebras) and second we obtain the necesary and sufficient conditions for the simplicity of such rings. Note that Amitsur [1] obtained conditions under which an Ore extension $R[x,d]$ over a simple ring $R$ is simple, while more recently Jordan [6] obtained such conditions if $R$ is $d$-simple.
Classification : 16A05 
@article{PIM_1985_N_S_37_51_a7,
     author = {Michael G. Voskoglou},
     title = {Simple {Skew} {Polynomial} {Rings}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {37 },
     publisher = {mathdoc},
     volume = {_N_S_37},
     number = {51},
     year = {1985},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1985_N_S_37_51_a7/}
}
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Michael G. Voskoglou. Simple Skew Polynomial Rings. Publications de l'Institut Mathématique, _N_S_37 (1985) no. 51, p. 37 . http://geodesic.mathdoc.fr/item/PIM_1985_N_S_37_51_a7/