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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»

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.



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