multiplicative identity is the identity homomorphism on A. The additive inverses are the pointwise inverses.

If the set A does not form an abelian group, then the above construction is not necessarily well-defined, as then the sum of two homomorphisms need not be a homomorphism. However, the closure of the set of endomorphisms under the above operations is a canonical example of a near-ring that is not a ring.

Properties

* Endomorphism rings always have additive and multiplicative

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