Ordered *-rings

被引：9
|
作者：
Craven, TC [1 ]
Smith, TL
机构：
[1] Univ Hawaii, Dept Math, Honolulu, HI 96822 USA
[2] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA
来源：
JOURNAL OF ALGEBRA | 2001年 / 238卷 / 01期
关键词：
*-ordering; valuation; Ore domain;
D O I：
10.1006/jabr.2000.8644
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
M. Marshall (2000, Comm. Algebra 28, 1157-2273) has generalized the notion of *-ordering to the setting of a ring with involution. Ln this paper we analyze the ways in which a given *-ordering (on the set of symmetric elements) can be extended to a multiplicatively closed ordering on a larger set of elements. A complete answer is given for Ore domains. (C) 2001 Academic Press.
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页码：314 / 327
页数：14
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