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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Free products of lattice-ordered groups


Author: A. M. W. Glass
Journal: Proc. Amer. Math. Soc. 101 (1987), 11-16
MSC: Primary 06F15; Secondary 20B22, 20E06
DOI: https://doi.org/10.1090/S0002-9939-1987-0897063-X
MathSciNet review: 897063
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Abstract: We give a highly homogeneous representation for the free product of two nontrivial countable lattice-ordered groups and obtain, as a consequence of the method, that the free product of nontrivial lattice-ordered groups is directly indecomposable and has trivial center.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0897063-X
Article copyright: © Copyright 1987 American Mathematical Society