请输入您要查询的字词:

 

单词 PrincipalIdealRing
释义

principal ideal ring


A commutative ring R in which all ideals are principal (http://planetmath.org/PrincipalIdeal), i.e. (http://planetmath.org/Ie) generated by (http://planetmath.org/IdealGeneratedBy) a single ring element, is called a principal ideal ring.  If R is also an integral domainMathworldPlanetmath, it is a principal ideal domainMathworldPlanetmath.

Some well-known principal ideal rings are the ring of integers, its factor rings /n, and any polynomial ring over a field.

随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/4 10:24:29