Geodesic
Subgroups and hulls of Specker lattice-ordered groups
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 2, pp. 395-413

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 06F15, 06F20, 06F25, 12J15, 46A40
Keywords: lattice-ordered groups; $f$-rings; Specker groups 
@article{CMJ_2001__51_2_a13,
     author = {Conrad, Paul F. and Darnel, Michael R.},
     title = {Subgroups and hulls of {Specker} lattice-ordered groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {395--413},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {2001},
     mrnumber = {1844319},
     zbl = {0978.06011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_2_a13/}
}
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
SP  - 395
EP  - 413
VL  - 51
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2001__51_2_a13/
LA  - en
ID  - CMJ_2001__51_2_a13
ER  - 
%0 Journal Article
%A Conrad, Paul F.
%A Darnel, Michael R.
%T Subgroups and hulls of Specker lattice-ordered groups
%J Czechoslovak Mathematical Journal
%D 2001
%P 395-413
%V 51
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2001__51_2_a13/
%G en
%F CMJ_2001__51_2_a13
Conrad, Paul F.; Darnel, Michael R. Subgroups and hulls of Specker lattice-ordered groups. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 2, pp. 395-413. http://geodesic.mathdoc.fr/item/CMJ_2001__51_2_a13/