Editor-in-Chief: Pulmannová, Sylvia
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Let m be an infinite cardinal. Inspired by a result of Sikorski on m-representability of Boolean algebras, we introduce the notion of r m-distributive lattice ordered group. We prove that the collection of all such lattice ordered groups is a radical class. Using the mentioned notion, we define and investigate a homogeneity condition for lattice ordered groups.
MSC: Primary 06F15
Keywords: Boolean algebra; lattice ordered group; rm-distributivity; radical class; completeness; lateral completeness
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Published Online: 2014-05-08
Published in Print: 2014-04-01
Citation Information: Mathematica Slovaca, Volume 64, Issue 2, Pages 281–286, ISSN (Online) 1337-2211, DOI: https://doi.org/10.2478/s12175-014-0202-1.
© 2014 Mathematical Institute, Slovak Academy of Sciences. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0
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