A weakly associative generalization of the variety of representable lattice ordered groups
Jiří Rachůnek · Czech digital mathematics library · 1998
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 £o-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.