# Subgroups and hulls of Specker lattice-ordered groups

Paul F. Conrad; Michael R. Darnel

Czechoslovak Mathematical Journal (2001)

- Volume: 51, Issue: 2, page 395-413
- ISSN: 0011-4642

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topConrad, Paul F., and Darnel, Michael R.. "Subgroups and hulls of Specker lattice-ordered groups." Czechoslovak Mathematical Journal 51.2 (2001): 395-413. <http://eudml.org/doc/30643>.

@article{Conrad2001,

abstract = {In this article, it will be shown that every $\ell $-subgroup of a Specker $\ell $-group has singular elements and that the class of $\ell $-groups that are $\ell $-subgroups of Specker $\ell $-group form a torsion class. Methods of adjoining units and bases to Specker $\ell $-groups are then studied with respect to the generalized Boolean algebra of singular elements, as is the strongly projectable hull of a Specker $\ell $-group.},

author = {Conrad, Paul F., Darnel, Michael R.},

journal = {Czechoslovak Mathematical Journal},

keywords = {lattice-ordered groups; $f$-rings; Specker groups; lattice-ordered groups; -rings; Specker groups},

language = {eng},

number = {2},

pages = {395-413},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Subgroups and hulls of Specker lattice-ordered groups},

url = {http://eudml.org/doc/30643},

volume = {51},

year = {2001},

}

TY - JOUR

AU - Conrad, Paul F.

AU - Darnel, Michael R.

TI - Subgroups and hulls of Specker lattice-ordered groups

JO - Czechoslovak Mathematical Journal

PY - 2001

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 51

IS - 2

SP - 395

EP - 413

AB - In this article, it will be shown that every $\ell $-subgroup of a Specker $\ell $-group has singular elements and that the class of $\ell $-groups that are $\ell $-subgroups of Specker $\ell $-group form a torsion class. Methods of adjoining units and bases to Specker $\ell $-groups are then studied with respect to the generalized Boolean algebra of singular elements, as is the strongly projectable hull of a Specker $\ell $-group.

LA - eng

KW - lattice-ordered groups; $f$-rings; Specker groups; lattice-ordered groups; -rings; Specker groups

UR - http://eudml.org/doc/30643

ER -

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## Citations in EuDML Documents

top- Ján Jakubík, Subdirect decompositions and the radical of a generalized Boolean algebra extension of a lattice ordered group
- Ján Jakubík, Torsion classes of Specker lattice ordered groups
- Ján Jakubík, Torsion classes and subdirect products of Carathéodory vector lattices
- Ján Jakubík, On Carathéodory vector lattices
- Ján Jakubík, On some types of radical classes
- Ján Jakubík, Isomorphisms of direct products of lattice-ordered groups

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