Maximal d-subgroups and ultrafilters View Full Text


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Article Info

DATE

2018-12

AUTHORS

Papiya Bhattacharjee, Warren Wm. McGovern

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. More... »

PAGES

421-440

References to SciGraph publications

  • 2002. Least Integer Closed Groups in ORDERED ALGEBRAIC STRUCTURES
  • 2003-12. When an algebraic frame is regular in ALGEBRA UNIVERSALIS
  • 2009-12. Feebly projectable ℓ-groups in ALGEBRA UNIVERSALIS
  • 2003-10. Weakly least integer closed groups in RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO SERIES 2
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s12215-017-0323-9

    DOI

    http://dx.doi.org/10.1007/s12215-017-0323-9

    DIMENSIONS

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