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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

$a^*$-closures of lattice-ordered groups


Authors: Roger Bleier and Paul Conrad
Journal: Trans. Amer. Math. Soc. 209 (1975), 367-387
MSC: Primary 06A55
DOI: https://doi.org/10.1090/S0002-9947-1975-0404087-1
MathSciNet review: 0404087
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Abstract: A convex $l$-subgroup of an $l$-group $G$ is closed if it contains the join of each of its subsets that has a join in $G$. An extension of $G$ which preserves the lattice of closed convex $l$-subgroups of $G$ is called an ${a^ \ast }$-extension of $G$. In this paper we consider ${a^ \ast }$-extensions and ${a^ \ast }$-closures of $G$.


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Article copyright: © Copyright 1975 American Mathematical Society