On the variety of Riesz spaces

被引：5
|
作者：
Labuschagne, C. C. A. [1 ]
van Alten, C. J. [1 ]
机构：
[1] Univ Witwatersrand, Sch Math, ZA-2050 Wits, South Africa
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2007年 / 18卷 / 01期
关键词：
Riesz space; variety; quasivariety;
D O I：
10.1016/S0019-3577(07)80006-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Finitely generated linearly ordered Riesz spaces are described, leading to a proof that the variety of Riesz spaces is generated as a quasivariety by the Riesz space R of real numbers. The finitely generated Riesz spaces are also described: they are the subalgebras of real-valued function spaces on root systems of finite height.
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页码：61 / 68
页数：8
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