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Discussiones Mathematicae General Algebra and Applications 23(1) (2003) 19-30
DOI: https://doi.org/10.7151/dmgaa.1061
ON ABSOLUTE RETRACTS AND ABSOLUTE CONVEX RETRACTS IN SOME CLASSES OF l-GROUPS
Ján Jakubík
Matematický ústav SAV,
Gresákova 6, 040 01 Kosice, Slovakia
email:
kstefan@saske.sk
Abstract
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.
2000 Mathematics Subject Classification: 06F20, 06F15.
References
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Received 21 October 2002