英语单词查询
nilpotent
「nilpotent」的意思
adj. [数] 幂零的; n. 幂零
adj.[数] 幂(为)零的
「nilpotent」的用法
nilpotent幂零的 - 在抽象代数中，幂零元素是指某个元素在乘以自身若干次后得到零的元素。
「nilpotent」的例句
In abstract algebra, a nilpotent element is an element of a ring that becomes zero when raised to some power.
在抽象代数中，幂零元素是指某个元素在乘以自身若干次后得到零的元素。
Nilpotent elements play a significant role in the study of rings and algebras.
幂零元素在环和代数的研究中起着重要的作用。
The concept of nilpotency is closely related to the structure of the ring.
幂零的概念与环的结构密切相关。
Nilpotent ideals are important in commutative algebra.
幂零理想在交换代数中很重要。
Understanding nilpotent elements helps in analyzing the behavior of algebraic structures.
理解幂零元素有助于分析代数结构的行为。
Nilpotency can be used to classify different types of rings and algebras.
幂零可以用来分类不同类型的环和代数。
In linear algebra, nilpotent matrices are matrices that become zero when raised to some power.
在线性代数中，幂零矩阵是指某个矩阵在乘以自身若干次后得到零的矩阵。
The study of nilpotent elements is fundamental to many areas of mathematics.
研究幂零元素是数学许多领域的基础。
Nilpotent ideals have important applications in algebraic geometry.
幂零理想在代数几何中有重要的应用。
Understanding nilpotency can lead to new insights into the structure of mathematical objects.
理解幂零可以导致对数学对象结构的新见解。