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
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/
@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 },
year = {1986},
volume = {_N_S_39},
number = {53},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1986_N_S_39_53_a12/}
}