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A weakly associative generalization of the variety of representable lattice ordered groups. (English) Zbl 0956.06007

Summary: A semi-ordered group is a group endowed with a reflexive and anti-symmetric binary relation compatible with the group addition. Circular totally semi-ordered groups (circular to-groups) are very close to linearly ordered groups. In the paper it is proved that the class of all subdirect sums of circular to-groups is a variety of weakly associative lattice groups (wal-groups). Further, an atom in the lattice of varieties of wal-groups is described.

MSC:

06F15 Ordered groups
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References:

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