Free $\ell $-groups and free products of $\ell $-groups
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 4, pp. 617-625
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In this paper we have given the construction of free $\ell $-groups generated by a po-group and the construction of free products in any sub-product class $\Cal U$ of $i\ell$-groups. We have proved that the $\Cal U$-free products satisfy the weak subalgebra property.
In this paper we have given the construction of free $\ell $-groups generated by a po-group and the construction of free products in any sub-product class $\Cal U$ of $i\ell$-groups. We have proved that the $\Cal U$-free products satisfy the weak subalgebra property.
Classification :
06F15, 20F60
Keywords: lattice-ordered group ($\ell $-group); free $\ell $-group; free product of $\ell $-groups; sub-product class of $\ell $-groups
Keywords: lattice-ordered group ($\ell $-group); free $\ell $-group; free product of $\ell $-groups; sub-product class of $\ell $-groups
@article{CMUC_1994_35_4_a2,
author = {Ton, Dao-Rong},
title = {Free $\ell $-groups and free products of $\ell $-groups},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {617--625},
year = {1994},
volume = {35},
number = {4},
mrnumber = {1321232},
zbl = {0820.06010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1994_35_4_a2/}
}
Ton, Dao-Rong. Free $\ell $-groups and free products of $\ell $-groups. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 4, pp. 617-625. http://geodesic.mathdoc.fr/item/CMUC_1994_35_4_a2/