Question

( 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 mentioned

I 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

Answer 1

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