【摘要】 引入交换环上半序空间的概念。借助实赋值理论,研究与给定赋值相容的半序和序的结构。作为一个重要结果,将熟知的Baer-Krull定理推广到交换环上。更多还原

【Abstract】 The notion of the space of semiorderings on a commutative ring is introduced. With the aid of the theory of real valuations, the structure of semiorderings and orderings compatible with a given valuation is investigated, and an important result is that the familiar Baer-Krull theorem is generalized to the category of commutative rings.更多还原