请输入您要查询的字词:

 

单词 HopfianModule
释义

Hopfian module


A left (right) module M over a ring R is Hopfian if every surjectivePlanetmathPlanetmath R-endomorphism of M is an automorphism. Dually, a left (right) R-module M is cohopfian if every injectivePlanetmathPlanetmath R-endomorphism of M is an automorphism.

References

  • 1 T. Y. Lam, Lectures on Modules and Rings, Springer-Verlag, New York (1999).
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 8:48:26