Abstract
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.
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Communicated by Jiří Rachůnek
This work was supported by VEGA Grant No. 2/0194/10 and by Science and Technology Assistance Agency under the contract APVV-0178-11.
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Jakubík, J. On a type of distributivity of lattice ordered groups. Math. Slovaca 64, 281–286 (2014). https://doi.org/10.2478/s12175-014-0202-1
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DOI: https://doi.org/10.2478/s12175-014-0202-1