Maximal d-subgroups and ultrafilters

Papiya Bhattacharjee; Warren Wm McGovern

doi:10.1007/s12215-017-0323-9

Maximal d-subgroups and ultrafilters

Papiya Bhattacharjee
, Warren Wm McGovern

School of Science (Behrend)

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	421-440
Number of pages	20
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	67
Issue number	3
DOIs	https://doi.org/10.1007/s12215-017-0323-9
State	Published - Dec 1 2018

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s12215-017-0323-9

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abstract = "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.",

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AB - 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.

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Maximal d-subgroups and ultrafilters

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