Elementary Extensions of Linear Topological Abelian Groups
R. G. Phillips, P. L. Sperry · Proceedings of the American Mathematical Society · 1972
R. MacDowell and E. Specker obtain a structure theorem for elementary extensions of the integers by considering a certain residue mapping. In this paper we characterize those abelian groups in which an analogous situation exists and obtain the MacDowell-Specker result as a special case of our theory.