On the Fractional Extensions in Commutative Ordered Semigroups
Congwen Luo · Shuxue jikan · 2008
In this paper we extend the construction of the field of rational numbers from the ring of integers to an arbitrary commutative ordered semigroup. We first construct a frac- tional ordered semigroup and a homomorphism φs : R → S-1R. Secondly, we characterize the commutative ordered semigroup so constructed by a universal mapping property.