请输入您要查询的字词:

 

单词 LargeIdeal
释义

large ideal


An ideal I of a ring R is called a large ideal if for every ideal J of R such that J{0}, IJ{0}

A ring is semiprime iff every large ideal is dense.

Obviously all nontrivial ideal of an integral domainMathworldPlanetmath is a large ideal, and the maximal idealMathworldPlanetmath of any non-trivial local ringMathworldPlanetmath is a large ideal.

References

  • 1 N.J. Fine, L. Gillman, J. Lambek,”Rings of Quotients of Rings of Functions”,
    Transcribed and edited into PDF from the original 1966 McGill University Press book
    (see http://tinyurl.com/24unqshere, Editors: M. Barr, R. Raphael),
    http://tinyurl.com/ytw3tjOnline download,Accessed 24.10.2007
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 10:37:17