交换环上的“下降”问题和“上升”问题  

Problems of "pushdown" and "pullback" on a commutative ring

作　　者：邹群[1] 

机构地区：[1]南昌航空工业学院信息与计算科学系,江西南昌330034

出　　处：《南昌航空工业学院学报》2005年第2期7-10,共4页Journal of Nanchang Institute of Aeronautical Technology（Natural Science Edition）

摘　　要：本文的目的是基于域上高层序的“下降”问题与“上升”问题的有关结论,在含单位元的交换环上,通过取序的特殊化以及整环的商域,将此结论加以推广。同时指明,与一个给定的赋值对相容的所有n层序对于C-R拓扑组成Rn-SpecK的一个闭子集。The aim of this paper is based on the conclusions concerning the problems of “pushdown” and “pullback” for an ordering of higher level on a field . We extend them by taking specialization of orderings and the quotient fields of domains on a commutative ring with unit. Moreover, it is shown that all orderings of level n compatible with a given valuation pair on a commutative ring constitute a closed subset of RnSpecK for the C - R topology.

关 键 词：环 赋值对 高层序 下降 上升 相容性 

分 类 号：O152[理学—数学]