*-Orderings on a ring with involution |
| |
Authors: | Murray Marshall |
| |
Affiliation: | 1. Department of Mathematics &2. Statisitics , Saskatoon, SK, S7N5E6, Canada E-mail: marshall@math.usask.ca |
| |
Abstract: | The object of the paper is to extend part of the theory of *-orderings on a skewfield with involution to a general ring with involution. The valuation associated to a *-ordering is examined. Every *-ordering is shown to extend. *-orderings are shown to form a space of signs as defined by Brocker and Marshall. In case the involution is the identity, the ring under consideration is commutative and the *-orderings are just the usual orderings making up the usual real spectrum of a commutative ring as defined by Coste and Roy. |
| |
Keywords: | Primary: 11E25 Primary: 12D15 Primary: 12E15 Primary: 12J20 Primary: 14P10 Primary: 16W10 Secondary: 11E39 Secondary: 46L05 |
|
|