Generalized Boolean Algebras in Lattice-Ordered Groups |
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| Authors: | Conrad Paul F Darnel Michael R |
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| Institution: | 1. Department of Mathematics, University of Kansas, 405 Snow Hall, Lawrence, KS, 66045-2142, USA
2. Department of Mathematics, Indiana University, South Bend, USA
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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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