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Category of modules

In algebra, given a ring R {\displaystyle R} , the category of left modules over R {\displaystyle R} is the category whose objects are all left modules over R {\displaystyle R} and whose morphisms are all module homomorphisms between left R {\displaystyle R} -modules. For example, when R {\displaystyle R} is the ring of integers Z {\displaystyle \mathbb…

Properties, Category of vector spaces & Objects