Noncommutative Valuation Rings
Publications de l'Institut Mathématique, _N_S_39 (1986) no. 53, p. 83
Cet article a éte moissonné depuis 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 },
year = {1986},
volume = {_N_S_39},
number = {53},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1986_N_S_39_53_a12/}
}
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/