Jan Jakubik, Matematicky ustav SAV, Gresakova 6, 040 01 Kosice, Slovakia
Abstract: 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.
Keywords: convergence $\ell$-group, closed convex $\ell$-subgroup, radical class of convergence $\ell$-groups
Classification (MSC 1991): 06F20, 22C05
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