Condition of semigroup homomorphism should be ____________ans.f(x) * f(y) = f(y)f(x * x) = f(x * y)f(x * y) = f(x) * f(y)f(x) = f(y) Previous Marked for Review Next

The condition for a semigroup homomorphism should be f(x * y) = f(x) * f(y). This means that the function f preserves the operation * under which the semigroup is defined. The operation * could be any binary operation like addition, multiplication etc.

The given condition f(x) * f(y) = f(y)f(x * x) = f(x * y)f(x * y) = f(x) * f(y)f(x) = f(y) seems to be incorrect or not properly formatted. The correct condition should be f(x * y) = f(x) * f(y).