“HopfianModule”的概念、定义、习题解题方法及翻译-数学辞典

单词	HopfianModule
释义	Hopfian module A left (right) module $M$ over a ring $R$ is Hopfian if every surjective $R$ -endomorphism of $M$ is an automorphism. Dually, a left (right) $R$ -module $M$ is cohopfian if every injective $R$ -endomorphism of $M$ is an automorphism. References 1 T. Y. Lam, Lectures on Modules and Rings, Springer-Verlag, New York (1999).
随便看	EveryNormedSpaceWithSchauderBasisIsSeparable every normed space with Schauder basis is separable EveryOrderedFieldWithTheLeastUpperBoundPropertyIsIsomorphicTomathbbRProofThat EveryOrderedFieldWithTheLeastUpperBoundPropertyIsIsomorphicToTheRealNumbers every ordered field with the least upper bound property is isomorphic to the real numbers every ordered field with the least upper bound property is isomorphic to ℝ, proof that EveryOrthonormalSetIsLinearlyIndependent every orthonormal set is linearly independent EveryPermutationHasACycleDecomposition every permutation has a cycle decomposition EveryPIDIsAUFD every PID is a UFD EveryPIDIsAUFDAlternativeProof every PID is a UFD - alternative proof EveryPositiveIntegerGreaterThan30HasAtLeastOneCompositeTotative every positive integer greater than 30 has at least one composite totative EveryPrimeHasAPrimitiveRoot every prime has a primitive root EveryPrimeIdealIsRadical every prime ideal is radical EveryPropositionIsEquivalentToAPropositionInDNF every proposition is equivalent to a proposition in DNF EveryRingIsAnIntegerAlgebra every ring is an integer algebra EverySecondCountableSpaceIsSeparable

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。

Hopfian module

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