Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (3): 442-445.
Previous Articles Next Articles
Received:
Online:
Published:
About author:
Supported by:
Abstract: 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.
Key words: ordered semigroup, fractional extension, homomorphism
CLC Number:
O153.7
LUO Cong-wen. On the Fractional Extensions in Commutative Ordered Semigroups [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(3): 442-445.
/ Recommend
Add to citation manager EndNote|Ris|BibTeX
URL: https://sxjk.magtechjournal.com/EN/
https://sxjk.magtechjournal.com/EN/Y2008/V23/I3/442