On isometries in partially ordered groups
Milan Jasem · Czech digital mathematics library · 1993
In this note congruences in partially ordered groups are studied.A necessary and sufficient condition for any congruence in a Riesz group and a distributive multilattice group to be extendable to an isometry is given.Further, it is shown that all congruences in an abelian lattice ordered group G can be extended to isometries if and only if G is strongly projectable.