*-Orderings on a ring with involution
作者:
Murray Marshall,
期刊:
Communications in Algebra
(Taylor Available online 2000)
卷期:
Volume 28,
issue 3
页码: 1157-1173
ISSN:0092-7872
年代: 2000
DOI:10.1080/00927870008826887
出版商: Gordon and Breach Science Publishers Ltd.
关键词: Primary: 11E25;Primary: 12D15;Primary: 12E15;Primary: 12J20;Primary: 14P10;Primary: 16W10;Secondary: 11E39;Secondary: 46L05
数据来源: Taylor
摘要:
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.
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