摘要
本文首先讨论实全商环上的位(又称赋值对,见[5]);其次,特别对实位进行探讨,获得一些类似于实域的结论。
Notions of place(or valuation pair)and reai place defined in Manis[5] and theauthor s[1]were studied in real totai quotient rings.Many results from real fields could becarried over into real quoticnt rings,e.g.R-valued places;a theorem of Dubois and Brown,etc.. Moreover,an explicit expression for real place was formutated,which is to a certain ex-tent an improvement of the corresponding expression given by Zeng for general semi- realrings.
出处
《南昌大学学报(理科版)》
CAS
1994年第1期1-6,共6页
Journal of Nanchang University(Natural Science)
基金
江西省自然科学基金
关键词
实全商环
子全商环
位
实位
real totai quotient ring,sub-total quotient ring,prufer valuation pair, prufervaluation ring