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Representation of the projectable and strongly projectable hulls of a lattice-ordered group


Author: Donald A. Chambless
Journal: Proc. Amer. Math. Soc. 34 (1972), 346-350
MSC: Primary 06A55
DOI: https://doi.org/10.1090/S0002-9939-1972-0295990-7
MathSciNet review: 0295990
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Abstract: A representable l-group G can be embedded into a projectable (strongly projectable) l-group; an essential extension of G which is minimal with respect to being projectable (strongly projectable) is unique. In this paper these projectable and strongly projectable ``hulls'' of G are represented using direct limits. If G is an f-ring, or f-ring without nonzero nilpotent elements, then so are these hulls.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0295990-7
Keywords: Strongly projectable l-group, projectable l-group, representation of l-groups, representable l-group, direct limits of l-groups
Article copyright: © Copyright 1972 American Mathematical Society

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