On absolute retracts and absolute convex retracts in some classes of l-groups
Discussiones Mathematicae. General Algebra and Applications, Tome 23 (2003) no. 1, pp. 19-30
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By dealing with absolute retracts of l-groups we use a definition analogous to that applied by Halmos for the case of Boolean algebras. The main results of the present paper concern absolute convex retracts in the class of all archimedean l-groups and in the class of all complete l-groups.
Keywords:
l-group, absolute retract, absolute convex retract, archimedean l-group, complete l-group, orthogonal completeness
@article{DMGAA_2003_23_1_a2,
author = {Jakub{\'\i}k, J\'an},
title = {On absolute retracts and absolute convex retracts in some classes of l-groups},
journal = {Discussiones Mathematicae. General Algebra and Applications},
pages = {19--30},
publisher = {mathdoc},
volume = {23},
number = {1},
year = {2003},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGAA_2003_23_1_a2/}
}
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%0 Journal Article %A Jakubík, Ján %T On absolute retracts and absolute convex retracts in some classes of l-groups %J Discussiones Mathematicae. General Algebra and Applications %D 2003 %P 19-30 %V 23 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/DMGAA_2003_23_1_a2/ %G en %F DMGAA_2003_23_1_a2
Jakubík, Ján. On absolute retracts and absolute convex retracts in some classes of l-groups. Discussiones Mathematicae. General Algebra and Applications, Tome 23 (2003) no. 1, pp. 19-30. http://geodesic.mathdoc.fr/item/DMGAA_2003_23_1_a2/