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.
引用
收藏
页码：61 / 68
页数：8
相关论文
共 50 条
  • [21] RIESZ SPACES AND TYPE-(C) SPACES
    PORTENIER, C
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1969, 269 (18): : 850 - +
  • [22] Pointfree spectra of Riesz spaces
    Ebrahimi, MM
    Karimi, A
    Mahmoudi, M
    APPLIED CATEGORICAL STRUCTURES, 2004, 12 (04) : 397 - 409
  • [23] Reverse Martingales in Riesz Spaces
    Korostenski, Mareli
    Labuschagne, Coenraad C. A.
    Watson, Bruce A.
    OPERATOR ALGEBRAS, OPERATOR THEORY AND APPLICATIONS, 2010, 195 : 213 - +
  • [24] Łukasiewicz logic and Riesz spaces
    Antonio Di Nola
    Ioana Leuştean
    Soft Computing, 2014, 18 : 2349 - 2363
  • [25] UNIVERSALLY COMPLETE RIESZ SPACES
    ALIPRANTIS, CD
    BURKINSHAW, O
    PACIFIC JOURNAL OF MATHEMATICS, 1977, 71 (01) : 1 - 12
  • [26] Conditional expectations on Riesz spaces
    Kuo, WC
    Labuschagne, CCA
    Watson, BA
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 303 (02) : 509 - 521
  • [27] Probabilistic Normed Riesz Spaces
    Sencimen, Celaleddin
    Pehlivan, Serpil
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (07) : 1401 - 1410
  • [28] Riesz means on symmetric spaces
    Fotiadis, A.
    Papageorgiou, E.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 499 (01)
  • [29] Markov processes on Riesz spaces
    Vardy, Jessica J.
    Watson, Bruce A.
    POSITIVITY, 2012, 16 (02) : 373 - 391
  • [30] Positive polynomials on Riesz spaces
    Cruickshank, James
    Loane, John
    Ryan, Raymond A.
    POSITIVITY, 2017, 21 (03) : 885 - 895
12345