TY - JOUR
T1 - Maximal d-subgroups and ultrafilters
AU - Bhattacharjee, Papiya
AU - McGovern, Warren Wm
N1 - Publisher Copyright:
© 2017, Springer-Verlag Italia S.r.l.
PY - 2018/12/1
Y1 - 2018/12/1
N2 - 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.
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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U2 - 10.1007/s12215-017-0323-9
DO - 10.1007/s12215-017-0323-9
M3 - Article
AN - SCOPUS:85053594823
SN - 0009-725X
VL - 67
SP - 421
EP - 440
JO - Rendiconti del Circolo Matematico di Palermo
JF - Rendiconti del Circolo Matematico di Palermo
IS - 3
ER -