MATHEMATICA BOHEMICA, Vol. 122, No. 3, pp. 301-315, 1997

# Closed convex $\ell$-subgroups and radical classes of convergence $\ell$-groups

## Jan Jakubik

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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