Embedding in compact uniquely divisible semigroups
D. R. Brown and M. Friedberg have conjectured that each compact abelian semigroup can be embedded in a compact divisible semigroup. V. R. Hancock proved that each abelian algebraic semigroup can be embedded in a divisible abelian algebraic semigroup. In this paper we provide a partial solution to the conjecture of Brown and Friedberg by employing a topological version of Hancock's method as part of our construction. A theorem giving sufficient conditions for the Bohr compactification of weakly reductive semigroups to be injective is proved and used in the proof of our main result. © 1972 Springer-Verlag New York Inc.
Publication Source (Journal or Book title)
Hildebrant, J., & Lawson, J. (1972). Embedding in compact uniquely divisible semigroups. Semigroup Forum, 4 (1), 295-300. https://doi.org/10.1007/BF02570801