Geodesic
Noncommutative Valuation Rings
Publications de l'Institut Mathématique, _N_S_39 (1986) no. 53, p. 83 .

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

Noncommutative valuation rings are duo rings: Every right ideal is a left ideal and conversely. Properties of noncommutative valuation rings are compared to those of commutative valuation rings. Noncommutative valuatiun rings are integrally closed. A noncommutative valuation rings has all the properties of a commutative valuation ring if all its prime ideals are invariant.
Classification : 16A09 
@article{PIM_1986_N_S_39_53_a12,
     author = {Elbert M. Pirtle},
     title = {Noncommutative {Valuation} {Rings}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {83 },
     publisher = {mathdoc},
     volume = {_N_S_39},
     number = {53},
     year = {1986},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1986_N_S_39_53_a12/}
}
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Elbert M. Pirtle. Noncommutative Valuation Rings. Publications de l'Institut Mathématique, _N_S_39 (1986) no. 53, p. 83 . http://geodesic.mathdoc.fr/item/PIM_1986_N_S_39_53_a12/