𝑎*-closures of lattice-ordered groups

Bleier, Roger; Conrad, Paul

doi:10.1090/S0002-9947-1975-0404087-1

$a^*$-closures of lattice-ordered groups
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Trans. Amer. Math. Soc. 209 (1975), 367-387 Request permission

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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