“Hom”的概念、定义、习题解题方法及翻译-数学辞典

单词

Hom

释义

Hom

For two vector spaces V,W over a field F, then Hom(V,W) denotes the space of linear maps from V to W. Its dimension equals dimV×dimW. Note that Hom(V,V) is the endomorphism ring End(V) and that Hom(V,F) is the dual space of V.

The notation is more generally used; for example Hom(G,H), the additive group of homomorphisms where G,H are abelian groups, or to denote Hom functors in category theory.

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数学辞典收录了4151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。