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Conversely, the kernel of any semigroup homomorphism is a semigroup congruence. en.wikipedia.org

The notions of group homomorphism, subgroup, normal subgroup and the isomorphism theorems are typical examples. en.wikipedia.org

Assume that there exists a map, called a chain-diagonal, with the property that; where the map denotes the ring homomorphism known as the augmentation map. en.wikipedia.org

This operation is an order-preserving homomorphism and hence is well-behaved both algebraically and order theoretically. en.wikipedia.org

This word is a play on the many morphisms in mathematics, but cryptomorphism is only very distantly related to isomorphism, homomorphism, or morphisms. en.wikipedia.org

If the homomorphism is in fact a monomorphism, the representation is said to be "faithful". en.wikipedia.org

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