Maximal d-subgroups and ultrafilters

被引：5
作者：
Bhattacharjee P. [1 ]
McGovern W.W. [2 ]
机构：
[1] School of Science, Penn State Behrend, Erie, 16563, PA
[2] H. L. Wilkes Honors College, Florida Atlantic University, Jupiter, 33458, FL
来源：
Rendiconti del Circolo Matematico di Palermo Series 2 | 2018年 / 67卷 / 3期
关键词：
Archimedean lattice-ordered group; Ultrafilters d-subgroups; Yosida representation;
D O I：
10.1007/s12215-017-0323-9
中图分类号：
学科分类号：
摘要：
We study the space Maxd(G) of maximal d-subgroups of a lattice-ordered group, paying specific attention to archimedean ℓ-groups with weak order unit. For such an object (G, u), Maxd(G) lays at a level in between the space of minimal prime subgroups and the Yosida space of (G, u). Theorem 5.10 gives the appropriate generalization of a quasi F-space to W-objects which avoids a discussion of o-complete ℓ-groups. © 2017, Springer-Verlag Italia S.r.l.
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页码：421 / 440
页数：19
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