“FractionField”的概念、定义、习题解题方法及翻译-数学辞典

单词	FractionField
释义	fraction field Given an integral domain $R$ , the fraction field of $R$ is the localization $S^{-1}R$ of $R$ with respect to the multiplicative set $S=R\\setminus\\{0\\}$ . It is always a field.
随便看	exact differential equation ExactdifferentialForm exact (differential form) ExactlyDetermined exactly determined ExactlyDivides exactly divides ExactSequence exact sequence ExactSequencesForModulesWithFiniteProjectiveDimension exact sequences for modules with finite projective dimension ExactTrigonometryTables exact trigonometry tables Example: equality of structures ExampleNeedingTwoLagrangeMultipliers example needing two Lagrange multipliers ExampleOfABezoutDomainThatIsNotAPID example of a Bezout domain that is not a PID ExampleOfABVFunctionWhichIsNotW11 example of a B⁢V function which is not W^{1,1} ExampleOfAConnectedSpaceThatIsNotPathconnected example of a connected space that is not path-connected ExampleOfAJordanHolderDecomposition example of a Jordan-Hölder decomposition ExampleOfAlgebrasAndCoalgebrasWhichCannotBeTurnedIntoHopfAlgebras

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。

fraction field