ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 63,   2   (1994)
pp.   259-265

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.

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