网站首页  英汉词典

请输入您要查询的英文单词:

 

单词 Algebra homomorphism
释义

Algebra homomorphism

中文百科

代数同态

AB两个K-多元环之间的同态是指一个函数F:A\rightarrow B,此函数能使得对所有在K内的k和在A内的xy来说,

  • F(kx) = kF(x)
  • F(x + y) = F(x) + F(y)
  • F(xy) = F(x)F(y)

F是双射的,则F称为是AB之间的同构

英语百科

Algebra homomorphism 代数同态

A homomorphism between two algebras, A and B, over a field (or ring) K, is a map F:A\rightarrow B such that for all k in K and x,y in A,

If F is bijective then F is said to be an isomorphism between A and B.

A common abbreviation for "homomorphism between algebras" is "algebra homomorphism" or "algebra map". Every algebra homomorphism is a homomorphism of K-modules.

随便看

 

英汉网英语在线翻译词典收录了3779314条英语词汇在线翻译词条,基本涵盖了全部常用英语词汇的中英文双语翻译及用法,是英语学习的有利工具。

 

Copyright © 2004-2024 encnc.com All Rights Reserved
更新时间:2025/6/18 2:25:38