虚二次环的商环的立方映射图的半正则性
Semiregularity of the Cubic Mapping Graphs of Quotient Rings of the Imaginary Quadratic Rings
韦扬江 1梁林花 1苏磊磊 1徐合燕1
作者信息
- 1. 广西师范学院数学与统计科学学院,广西南宁530299
- 折叠
摘要
令Q为有理数域,d=-3,-7,-11,-19,-43,-67,-163,K=Q(√d).该文研究了K的整数环的商环的立方映射图的半正则性.
Abstract
Let K =Q(√d),where Q is the rational number field and d＜0 is a square-free integer.Let Γ(γ) be the cubic mapping graph of Rd/<γ>,where γ is a non-invertible element in Rd,the ring of algebraic integers of K.The vertex set of Γ(γ) consists of all elements of Rd/<γ>.If α3 =β,then there is a directed edge from α toβ.In this paper,we investigate the semiregularity of Γ(γ) for d =-3,-7,-11,-19,-43,-67,-163.
关键词
虚二次环/立方映射图/入度/半正则性Key words
imaginary quadratic ring/cubic mapping graph/indegree/semiregularity引用本文复制引用
基金项目
This research was supported by the National Natural Science Foundation of China(11461010)
出版年
2019
NETL
NSTL
万方数据