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

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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 
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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

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