论文标题
最大的无评估领域
Maximal non valuative domains
论文作者
论文摘要
引入并表征了最大非估值领域的概念。如果r是评估领域，则整体域R被称为最大非估值领域，而对R的每一个适当的过度额定域都是一个估值领域。最大的非估值领域最多具有四个最大理想。讨论了最大非估值领域的各种特性。给出的条件是伪评估域和最大的非伪价值域是最大的非估值域。
The notion of maximal non valuative domain is introduced and characterized. An integral domain R is called a maximal non valuative domain if R is not a valuative domain but every proper overring of R is a valuative domain. Maximal non valuative domains have at most four maximal ideals. Various properties of maximal non valuative domains are discussed. Conditions are given under which pseudo-valuation domains and maximal non pseudo-valuation domains are maximal non valuative domains.
