Geodesic
Free $f$-modules
Matematičeskie zametki, Tome 17 (1975) no. 6, pp. 873-885

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $R$ be a directed ring whose cone of positive elements is strict and satisfies Ore's condition. The main result: there exists a freef-module over an $o$-module $_RM$ with cone $P_M$ if and only if $P_M$ is half-closed (this generalizes Vainberg's theorem for ordered Abelian groups). In this connection various characterizations off-modules with strict cones are given. 
@article{MZM_1975_17_6_a4,
     author = {A. V. Mikhalev and M. A. Shatalova},
     title = {Free $f$-modules},
     journal = {Matemati\v{c}eskie zametki},
     pages = {873--885},
     publisher = {mathdoc},
     volume = {17},
     number = {6},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_6_a4/}
}
TY  - JOUR
AU  - A. V. Mikhalev
AU  - M. A. Shatalova
TI  - Free $f$-modules
JO  - Matematičeskie zametki
PY  - 1975
SP  - 873
EP  - 885
VL  - 17
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1975_17_6_a4/
LA  - ru
ID  - MZM_1975_17_6_a4
ER  - 
%0 Journal Article
%A A. V. Mikhalev
%A M. A. Shatalova
%T Free $f$-modules
%J Matematičeskie zametki
%D 1975
%P 873-885
%V 17
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1975_17_6_a4/
%G ru
%F MZM_1975_17_6_a4
A. V. Mikhalev; M. A. Shatalova. Free $f$-modules. Matematičeskie zametki, Tome 17 (1975) no. 6, pp. 873-885. http://geodesic.mathdoc.fr/item/MZM_1975_17_6_a4/