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    Hom

    Definition

    Given two modules M and N over a unit ring R, Hom_R(M, N) denotes the set of all module homomorphisms from M to N. It is an R-module with respect to the addition of maps, (f + g)(x) = f(x) + g(x), and the product defined by (a f)(x) = a f(x) for all a element R.

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