请输入您要查询的字词:

 

单词 Tideal
释义

T-ideal


Let R be a commutative ring and RX be a free algebraMathworldPlanetmath over R on a set X of non-commuting variables. A two-sided idealMathworldPlanetmath I of RX is called a T-ideal if ϕ(I)I for any R-endomorphismMathworldPlanetmathPlanetmath ϕ of RX.

For example, let A be a R-algebraMathworldPlanetmathPlanetmath. Define 𝒯(A) to be the set of all polynomial identities (http://planetmath.org/PolynomialIdentityAlgebra) fRX for A. Then 𝒯(A) is a T-ideal of RX. 𝒯(A) is called the T-ideal of of A.

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:2025/5/5 0:23:20