1. Subgroups and hulls of Specker lattice-ordered groups
- Creator:
- Conrad, Paul F. and Darnel, Michael R.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- lattice-ordered groups, $f$-rings, and Specker groups
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public