“NakayamasLemma”的概念、定义、习题解题方法及翻译-数学辞典

单词	NakayamasLemma
释义	Nakayama’s lemma Let $R$ be a commutative ring with 1. Let $M$ be a finitely generated $R$ -module. If there exists an ideal $\\mathfrak{a}$ of $R$ contained in the Jacobson radical and such that $\\mathfrak{a}M=M$ , then $M=0$ .
随便看	CharacteristicPolynomialOfASymplecticMatrixIsAReciprocalPolynomial characteristic polynomial of a symplectic matrix is a reciprocal polynomial CharacteristicSubgroup characteristic subgroup CharacteristicValuesAndVectorsofAMatrix characteristic values and vectors (of a matrix) CharacterizationOfAbelianExtensionsOfExponentN characterization of abelian extensions of exponent n CharacterizationOfAKleeneAlgebra characterization of a Kleene algebra CharacterizationOfAlexandroffGroups characterization of Alexandroff groups CharacterizationOfAlmostConvexFunctions characterization of almost convex functions CharacterizationOfBasisOfFiniteDimensionalVectorSpace characterization of basis of finite dimensional vector space CharacterizationOfCompactlyGeneratedSpace characterization of compactly generated space CharacterizationOfConnectedCompactMetricSpaces characterization of connected compact metric spaces. CharacterizationOfConvergenceOfSequencesInMetricSpaces characterization of convergence of sequences in metric spaces CharacterizationOfField characterization of field CharacterizationOfFiniteNilpotentGroups

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。

Nakayama’s lemma