Abstract
The varieties of solvable lattice-ordered groups covering the abelian variety were shown independently by Gurchenkov, Reilly, and Darnel to be the Scrimger varieties of ℓ-groups and the three Medvedev representable covers. In this article, the authors give a parallel characterization of varieties of solvable unital ℓ-groups which cover the minimal nontrivial variety of boolean unital ℓ-groups.
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Presented by J. Martinez.
In memory of Paul F. Conrad
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Darnel, M.R., Charles Holland, W. Solvable covers of the boolean variety of unital ℓ-groups. Algebra Univers. 62, 185–199 (2009). https://doi.org/10.1007/s00012-010-0052-9
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DOI: https://doi.org/10.1007/s00012-010-0052-9