Question

An algebraic structure _________ is called a semigroup.

(a) (P, *)

(b) (Q, +, *)

(c) (P, +)

(d) (+, *)

I had been asked this question by my school teacher while I was bunking the class.

This key question is from Group Theory topic in chapter Groups of Discrete Mathematics

Answer 1

Correct choice is (a) (P, *)

The best explanation: An algebraic structure (P,*) is called a semigroup if a*(b*c) = (a*b)*c for all a,b,c belongs to S or the elements follow associative property under “*”. (Matrix,*) and (Set of integers,+) are examples of semigroup.