Geodesic
Orderings and preorderings in rings with involution
Colloquium Mathematicum, Tome 83 (2000) no. 1, pp. 15-20.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The notions of a preordering and an ordering of a ring R with involution are investigated. An algebraic condition for the existence of an ordering of R is given. Also, a condition for enlarging an ordering of R to an overring is given. As for the case of a field, any preordering of R can be extended to some ordering. Finally, we investigate the class of archimedean ordered rings with involution.
DOI : 10.4064/cm-83-1-15-20

Ismail Idris 1

1 
@article{10_4064_cm_83_1_15_20,
     author = {Ismail Idris},
     title = {Orderings and preorderings in rings with involution},
     journal = {Colloquium Mathematicum},
     pages = {15--20},
     publisher = {mathdoc},
     volume = {83},
     number = {1},
     year = {2000},
     doi = {10.4064/cm-83-1-15-20},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-83-1-15-20/}
}
TY  - JOUR
AU  - Ismail Idris
TI  - Orderings and preorderings in rings with involution
JO  - Colloquium Mathematicum
PY  - 2000
SP  - 15
EP  - 20
VL  - 83
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm-83-1-15-20/
DO  - 10.4064/cm-83-1-15-20
LA  - en
ID  - 10_4064_cm_83_1_15_20
ER  - 
%0 Journal Article
%A Ismail Idris
%T Orderings and preorderings in rings with involution
%J Colloquium Mathematicum
%D 2000
%P 15-20
%V 83
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm-83-1-15-20/
%R 10.4064/cm-83-1-15-20
%G en
%F 10_4064_cm_83_1_15_20
Ismail Idris. Orderings and preorderings in rings with involution. Colloquium Mathematicum, Tome 83 (2000) no. 1, pp. 15-20. doi : 10.4064/cm-83-1-15-20. http://geodesic.mathdoc.fr/articles/10.4064/cm-83-1-15-20/

Cité par Sources :