Maximal d-subgroups and ultrafilters

Papiya Bhattacharjee, Warren Wm McGovern

Research output: Contribution to journalArticlepeer-review

2 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 languageEnglish (US)
Pages (from-to)421-440
Number of pages20
JournalRendiconti del Circolo Matematico di Palermo
Volume67
Issue number3
DOIs
StatePublished - Dec 1 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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