“AnnihilatorIsAnIdeal”的概念、定义、习题解题方法及翻译-数学辞典

单词	AnnihilatorIsAnIdeal
释义	annihilator is an ideal The right annihilator of a right $R$ -module $M_{R}$ in $R$ is an ideal. Proof: By the distributive law for modules, it is easy to see that $\\operatorname{r.ann}(M_{R})$ is closed under addition and right multiplication.Now take $x\\in\\operatorname{r.ann}(M_{R})$ and $r\\in R$ . Take any $m\\in M_{R}$ . Then $mr\\in M_{R}$ , but then $(mr)x=0$ since $x\\in\\operatorname{r.ann}(M_{R})$ . So $m(rx)=0$ and $rx\\in\\operatorname{r.ann}(M_{R})$ . An equivalent result holds for left annihilators.
随便看	approximating algebraic numbers with linear recurrences ApproximatingFourierIntegralsWithDiscreteFourierTransforms approximating Fourier integrals with discrete Fourier transforms ApproximatingSumsOfRationalFunctions approximating sums of rational functions ApproximatingTheBirthdayProblem approximating the birthday problem Approximation approximation ApproximationOfTheLogFunction approximation of the log function ApproximationProperty approximation property ApproximationTheoremForAnArbitrarySpace approximation theorem for an arbitrary space APrimeOccursInTheEuclidMullinSequenceNoMoreThanOnce a prime occurs in the Euclid-Mullin sequence no more than once APropertyOfPolynomials A property of polynomials Apéry’s constant A Q & A ArabicNumerals Arabic numerals ArbelosAndParbelos arbelos and parbelos

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。

annihilator is an ideal