单词 | module |
释义 | module for all r1,r2,r in R and m1,m2,m in M. Typically R is further assumed to be a principal ideal domain or a Euclidean domain. ℤ-modules are abelian groups and vice versa. An F[x]-module, where F is a field, is a vector space V over F together with a linear map x:V → V defining scalar multiplication by x. Modules are intimately connected with representation theory. See free module, Jordan normal form, rational canonical form, Smith normal form, structure theorem, torsion element. |
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