Orderings and preorderings in rings with involution

Ismail Idris
2000 Colloquium Mathematicum  
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 fatcat:m4fygwjldrcpbcyxob44zll27a