Vector lattices on a set of two generators

被引：0
|
作者：
Bayanova N.V.
Medvedev N.Ya.
机构：
来源：
Algebra and Logic | 2002年 / 41卷 / 4期
关键词：
Center of an automorphism group; Free vector lattice; Ideal lattice; Root system;
D O I：
10.1023/A:1020152420386
中图分类号：
学科分类号：
摘要：
It is proved that the center of an automorphism group Aut(FV L2) of a free vector lattice FV L2 on a set of two free generators is isomorphic to a multiplicative group of positive reals. It is shown that the free vector lattice FV L2 has an isomorphic representation by continuous piecewise linear functions of the real line; as a consequence, the ideal lattice and the root system for rectifying ideals in FV L2 are amply described. Similar results are obtained for a free vector lattice FV LQ2 generated by two elements over a field of rational numbers. © 2002 Plenum Publishing Corporation.
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页码：217 / 227
页数：10
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