Question

A non empty set A is termed as an algebraic structure ________

(a) with respect to binary operation *

(b) with respect to ternary operation ?

(c) with respect to binary operation +

(d) with respect to unary operation –

This question was posed to me in an internship interview.

The question is from Group Theory in section Groups of Discrete Mathematics

Answer 1

Correct option is (a) with respect to binary operation *

The best I can explain: A non empty set A is called an algebraic structure w.r.t binary operation “*” if (a*b) belongs to S for all (a*b) belongs to S. Therefore “*” is closure operation on ‘A’.