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Jakubík, Ján; Kolibiar, Milan

Isometries of multilattice groups. (English) Zbl 0538.06018

Czech. Math. J. 33(108), 602-612 (1983).
The authors show that the results on the relation between isometries and direct decompositions of lattice ordered groups can be extended to hold for abelian distributive multilattice groups. They note that the question of whether the assumption of distributivity or commutativity can be dropped remains open.
Reviewer: G.P.Barker

Cited in 11 Documents

MSC:

06F20 Ordered abelian groups, Riesz groups, ordered linear spaces
06D05 Structure and representation theory of distributive lattices
20F60 Ordered groups (group-theoretic aspects)

Keywords:

isometries; direct decompositions; lattice ordered groups; abelian distributive multilattice groups
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\textit{J. Jakubík} and \textit{M. Kolibiar}, Czech. Math. J. 33(108), 602--612 (1983; Zbl 0538.06018)
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References:

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