On compact divisible abelian semigroups
John A. Hildebrant · Proceedings of the American Mathematical Society · 1968
The algebraic structure of divisible abelian semigroups has been studied in [9] and [l].Some results on the topological and algebraic structure of compact uniquely divisible abelian semigroups have been obtained in [4] and [5].A statement of equivalent conditions for a compact abelian semigroup to be divisible is presented in the present paper.Some of the results in [4] are extended to subunithetic semigroups, which are the fundamental building blocks of a divisible abelian semigroup.