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A semigroup S under binary operation * that has an identity is called __________(a) multiplicative identity(b) monoid(c) subgroup(d) homomorphismThe question was asked in exam.My doubt is from Groups in division Groups of Discrete Mathematics

Answer»

Right ANSWER is (b) MONOID

Easy explanation: LET P(S) is a commutative semigroup has the identity e, since e*A=A=A*e for any element A BELONGS to P(S). Hence, P(S) is a monoid.



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