Geodesic
A Note on a Fully Ordered Ring
Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 757-758

Voir la notice de l'article provenant de la source Cambridge University Press

A ring R (associative ring) is said to be fully ordered provided that R is a linearly ordered set under a relation such that for any a, b and c in R, implies that and if c ε 0 then and . We say a subset K of R is convex provided that if a, b ε K such that then the interval [a, b] is a subset of K. Obviously an additive subgroup K of R is convex if and only if b ε K and b > 0 implies [a, b] ⊆ K. 
Koh, Kwangil. A Note on a Fully Ordered Ring. Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 757-758. doi: 10.4153/CMB-1967-083-8
@article{10_4153_CMB_1967_083_8,
     author = {Koh, Kwangil},
     title = {A {Note} on a {Fully} {Ordered} {Ring}},
     journal = {Canadian mathematical bulletin},
     pages = {757--758},
     year = {1967},
     volume = {10},
     number = {5},
     doi = {10.4153/CMB-1967-083-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-083-8/}
}
TY  - JOUR
AU  - Koh, Kwangil
TI  - A Note on a Fully Ordered Ring
JO  - Canadian mathematical bulletin
PY  - 1967
SP  - 757
EP  - 758
VL  - 10
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-083-8/
DO  - 10.4153/CMB-1967-083-8
ID  - 10_4153_CMB_1967_083_8
ER  - 
%0 Journal Article
%A Koh, Kwangil
%T A Note on a Fully Ordered Ring
%J Canadian mathematical bulletin
%D 1967
%P 757-758
%V 10
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-083-8/
%R 10.4153/CMB-1967-083-8
%F 10_4153_CMB_1967_083_8

[1] 1. Fuchs, L., Partially Ordered Algebraic Systems, Pergammon Press (1966). Google Scholar

Cité par Sources :