MATHEMATICA BOHEMICA, Vol. 126, No. 1, pp. 151-159 (2001)

Weak $\sigma$-distributivity of lattice ordered groups

Jan Jakubik

Jan Jakubik, Matematicky ustav SAV, Gresakova 6, 040 01 Kosice, Slovakia, e-mail: musavke@mail.saske.sk

Abstract: In this paper we prove that the collection of all weakly distributive lattice ordered groups is a radical class and that it fails to be a torsion class.

Keywords: lattice ordered group, weak $\sigma$-distributivity, radical class

Classification (MSC2000): 06F20

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