“Socle”的概念、定义、习题解题方法及翻译-数学辞典

单词	Socle
释义	socle Let $M$ be a left (or right) $R$ -module. The socle of $M$ , denoted by $\\operatorname{Soc}(M)$ , is the sum of all simple (or minimal) submodules of $M$ . If $M$ has no simple submodules, then $\\operatorname{Soc}(M):=(0)$ . A left (or right) $R$ -module $M$ is semisimple iff $\\operatorname{Soc}(M)=M$ .
随便看	locally closed LocallyClosedSubgroupsOfTopologicalGroupsAreClosed locally closed subgroups of topological groups are closed LocallyCompact locally compact LocallyCompactGroupoids locally compact groupoids LocallyCompactHausdorffSpaces locally compact Hausdorff spaces LocallyCompactQuantumGroup locally compact quantum group LocallyCompactQuantumGroupsFromVonNeumannCAlgebrasWithHaarMeasures locally compact quantum groups from von Neumann/C^*- algebras with Haar measures LocallyCompactQuantumGroupsUniformContinuity locally compact quantum groups: uniform continuity LocallyConnected locally connected LocallyConvexTopologicalVectorSpace locally convex topological vector space LocallyCyclicGroup locally cyclic group LocallyEuclidean locally Euclidean LocallyFiniteCollection locally finite collection

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。

socle