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Generalized Boolean Algebras in Lattice-Ordered Groups

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Abstract

In this paper, characterizations are given for the free lattice-ordered group over a generalized Boolean algebra and the freel -module of a totally ordered integral domain with unit over a generalized Boolean algebra. Extensions of lattice-ordered groups using generalized Boolean algebras are defined and their properties studied.

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Authors and Affiliations

  1. Department of Mathematics, University of Kansas, 405 Snow Hall, Lawrence, KS, 66045-2142, USA

    Paul F. Conrad

  2. Department of Mathematics, Indiana University, South Bend, USA

    Michael R. Darnel

Authors
  1. Paul F. Conrad
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  2. Michael R. Darnel
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Conrad, P.F., Darnel, M.R. Generalized Boolean Algebras in Lattice-Ordered Groups. Order 14, 295–319 (1997). https://doi.org/10.1023/A:1006075129584

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  • DOI: https://doi.org/10.1023/A:1006075129584

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