WEAK ISOMETRIES IN PARTIALLY ORDERED GROUPS
M. JASEM
Abstract.
In this paper the author gives necessary and sufficient conditions under which to a stable weak isometry $f$ in a directed group $G$ there exists a direct decomposition $G=A\times B$ of $G$ such that $f(x)=x(A)-x(B)$ for each $x\in G$. Further, some results on weak isometries in partially ordered groups are established.
Compressed Postscript 
