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Affine Completeness and Lexicographic Product Decompositions of Abelian Lattice Ordered Groups
Authors:Jan Jakubik
Affiliation:(1) Matematicky ustav SAV, Gresakova 6, 040 01 Kosice, Slovakia
Abstract:In this paper it is proved that an abelian lattice ordered group which can be expressed as a nontrivial lexicographic product is never affine complete. This work was supported by VEGA grant 2/1131/21.
Keywords:Abelian lattice ordered group  lexicographic product decomposition  affine completeness
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