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)
Question
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)
Solution
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. If x and y are elements of the semigroup, then the operation * applied to f(x) and f(y) should give the same result as applying f to the result of the operation * applied to x and y.
Similar Questions
Condition of semigroup homomorphism should be ____________
An algebraic structure _________ is called a semigroup.ans.(P, +)(+, *)(Q, +, *)(P, *)
An algebraic structure _________ is called a semigroup. ans. (P, +) (Q, +, *) (+, *) (P, *)
An algebraic structure _________ is called a semigroup.ans.(Q, +, *)(P, +)(P, *)(+, *) Previous Marked for Review Next
An algebraic structure _________ is called a semigroup
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.