Orderings and preorderings in rings with involution

Tom 83 / 2000

Ismail Idris Colloquium Mathematicum 83 (2000), 15-20 DOI: 10.4064/cm-83-1-15-20


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.


  • Ismail Idris

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