Archimedeaness and additive utility on totally and ordered semigroups.
In the present paper, we will show that the set of minimal elements of a full affine semigroup contains a free basis of the group generated by in . This will be applied to the study of the group for a semilocal ring .
In this paper we prove that the system of all closed convex -subgroups of a convergence -group is a Brouwer lattice and that a similar result is valid for radical classes of convergence -groups.
In this paper we investigate the possibility of a regular embedding of a lattice ordered group into a completely distributive vector lattice.