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Condition of semigroup homomorphism should be ____________

Question

Condition of semigroup homomorphism should be ____________

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Solution

The condition of semigroup homomorphism should be that for all elements a and b in the semigroup, the homomorphism of the product of a and b (denoted as ab) should be equal to the product of the homomorphism of a and the homomorphism of b. In mathematical terms, if φ is the homomorphism and * is the operation, then φ(a * b) = φ(a) * φ(b).

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