可换序半群的分式扩张
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 fractional ordered semigroup and a homomorphism ψs:R→S-1R.Secondly,we characterize the commutative ordered semigroup so constructed by a universal mapping property.
作 者： 罗从文 LUO Cong-wen 作者单位： College of Science,Three Gorges University,Yichang 443002,China 刊 名： 数学季刊（英文版） ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS 年，卷(期)： 2008 23(3) 分类号： O153.1 关键词： ordered semigroup fractional extension homomorphism