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

单词	TotalRingOfFractions
释义	total ring of fractions For a commutative ring $R$ having regular elements, we may form $T=S^{-1}R$ , the total ring of fractions (quotients) of $R$ , as the localization of $R$ at $S$ , where $S$ is the set of all non-zero-divisors of $R$ . Then, $T$ can be regarded as an extension ring of $R$ (similarly as the field of fractions of an integral domain is an extension ring). $T$ has the non-zero unity 1.
随便看	ProofOfNesbittsInequality proof of Nesbitt’s inequality ProofOfNeumannSeriesInBanachAlgebras proof of Neumann series in Banach algebras ProofOfNewtonGirardFormulaForSymmetricPolynomials proof of Newton-Girard formula for symmetric polynomials ProofOfNielsenSchreierTheoremAndSchreierIndexFormula proof of Nielsen-Schreier theorem and Schreier index formula ProofOfNormAndTraceOfAlgebraicNumber proof of norm and trace of algebraic number ProofOfOpenMappingTheorem proof of open mapping theorem ProofOfOstrowskisValuationTheorem proof of Ostrowski’s valuation theorem ProofOfPappussTheorem proof of Pappus’s theorem ProofOfParallelogramLaw proof of parallelogram law proof of parallelogram law ProofOfParallelogramLaw1 ProofOfParallelogramTheorems proof of parallelogram theorems ProofOfPartialOrderWithChainConditionDoesNotCollapseCardinals proof of partial order with chain condition does not collapse cardinals ProofOfPascalsMysticHexagram

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。

total ring of fractions