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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»

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’.



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