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( Z,* ) be a structure, and* is defined by n * m =maximum (n, m) Which of the following statements is true for ( Z, * )?(a) ( Z,* ) is a monoid(b) ( Z,* ) is an algebraic group(c) ( Z,* ) is a group(d) None of the mentionedI had been asked this question in an internship interview.This intriguing question originated from Data Structure for Representing Parsing Table in section Bottom Up Parsing of Compiler

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The correct ANSWER is (d) None of the mentioned

For EXPLANATION I WOULD say: It is neither a monoid nor a SIMPLE group nor algebraic group



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