Detecting divisibility in uniquely divisible $\mathfrak{N}$-semigroups via homomorphisms to ${\mathbb{R}}_{>0}$

Colin Tan

An $\mathfrak{N}$-semigroup is an archimedean, idempotent-free, cancellative and commutative semigroup. For example, the additive semigroup ${\mathbb{R}}_{>0}$ of strictly positive r…