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Construction of existentially closed Abelian lattice-ordered groups using upper extensions

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Abstract

The upper extension construction of Ball, Conrad, and Darnel is used to produce new examples of non-Archimedean existentially closed Abelian lattice-ordered groups and boundedly existentially closed Abelian lattice-ordered groups. Also given are conditions under which an upper extension of a projectable Abelian lattice-ordered group is projectable.

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  1. Department of Mathematics Lehman College, CUNY, Gillet Hall, Room 211 250 Bedford Park Blvd West, Bronx, NY, 10468, USA

    Brian Wynne

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  1. Brian Wynne
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Correspondence to Brian Wynne.

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Presented by W. Wm. McGovern.

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Wynne, B. Construction of existentially closed Abelian lattice-ordered groups using upper extensions. Algebra Univers. 79, 51 (2018). https://doi.org/10.1007/s00012-018-0531-y

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  • DOI: https://doi.org/10.1007/s00012-018-0531-y

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