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B1: ({0, 1, 2….(n-1)}, xm) where xn stands for “multiplication-modulo-n” and B2: ({0, 1, 2….n}, xn) where xn stands for “multiplication-modulo-m” are the two statements. Both B1 and B2 are considered to be __________(a) groups(b) semigroups(c) subgroups(d) associative subgroupThis question was addressed to me in a job interview.The question is from Groups in section Groups of Discrete Mathematics

Answer»

The correct choice is (b) semigroups

Easy EXPLANATION: Here, B1 is the group and IDENTITY ELEMENT is 0, MEANS for all a∈B1, a+n.0=a. As a



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