An endomorphism of the group G is a homomorphism : G → G. Let End(A) be the set of all endomorphisms of the abelian groups A, that is End(A) := {y: A → Alya homomorphism} Define binary operations + and on End(A) by (+)(a) = y(a) + (a) and (*)(a) = ((a)) y for all a E A and y, € End(A). Show that (End (A), +, *) is a ring.

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