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radical class of cl-groups; Brouwer lattice; convergence $\ell$-group; closed convex $\ell$-subgroup; radical class of convergence $\ell$-groups
In this paper we prove that the system of all closed convex $\ell$-subgroups of a convergence $\ell$-group is a Brouwer lattice and that a similar result is valid for radical classes of convergence $\ell$-groups.
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