THE ULTRASIMPLICIAL PROPERTY FOR SIMPLE DIMENSION GROUPS WITH UNIQUE STATE, THE IMAGE OF WHICH HAS RANK ONE

被引：0

作者：

Maloney, Gregory R. ^{[1
]}

机构：

[1] Newcastle Univ, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2017年 / 43卷 / 01期

关键词：

Torsion-free abelian group; dimension group; ultrasimplicial;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be an ordered group that is a direct sum of a rank-one torsion-free abelian group and a finite-rank torsion-free abelian group, with order structure arising from the natural order on the first summand. A necessary condition and a sufficient condition are given for G to have an ordered-group inductive limit representation using injective maps.

引用

页码：39 / 60

页数：22

共 30 条

[1] Embedding rank one simple groups into rank one simple Riesz groups
Pardo, E
GLASGOW MATHEMATICAL JOURNAL, 2002, 44 : 551 - 567
[2] TRANSFORMATION WITH SIMPLE SPECTRUM WHICH IS NOT RANK ONE
JUNCO, AD
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1977, 29 (03): : 655 - 663
[3] A NONCONVEX SET WHICH HAS THE UNIQUE NEAREST POINT PROPERTY
JOHNSON, GG
JOURNAL OF APPROXIMATION THEORY, 1987, 51 (04) : 289 - 332
[4] The classification problem for simple unital finite rank dimension groups
Ellis, Paul
ISRAEL JOURNAL OF MATHEMATICS, 2018, 226 (01) : 419 - 445
[5] The classification problem for simple unital finite rank dimension groups
Paul Ellis
Israel Journal of Mathematics, 2018, 226 : 419 - 445
[6] 2-GROUPS OF NORMAL RANK 2 FOR WHICH FRATTINI SUBGROUP HAS RANK 3
KONVISSER, MW
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 165 (MAR) : 451 - +
[7] SETS EVERY HOMEOMORPHIC IMAGE OF WHICH HAS THE BAIRE PROPERTY
MORGAN, JC
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 75 (02) : 351 - 354
[8] Strong property (T) for higher-rank simple Lie groups
de Laat, Tim
de la Salle, Mikael
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2015, 111 : 936 - 966
[9] Strong Banach property (T) for simple algebraic groups of higher rank
Liao, Benben
JOURNAL OF TOPOLOGY AND ANALYSIS, 2014, 6 (01) : 75 - 105
[10] Groups in Which Every Normal Subgroup of Infinite Rank has Finite Index
De Falco, M.
de Giovanni, F.
Musella, C.
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2015, 39 (02) : 195 - 201

← 1 2 3 →