1.

A multiplicative monoid defines the property of exponentiation with ________(a) integer exponents(b) fractional exponents(c) rational exponents(d) negative integer exponentsI had been asked this question in homework.This interesting question is from Number Theory in chapter Number Theory and Cryptography of Discrete Mathematics

Answer»

The correct choice is (a) integer exponents

Explanation: Exponentiation with integer exponents is termed in any multiplicative MONOID. Exponentiation is described INDUCTIVELY by 1) h^0 = 1 for all h ∈ S, h^n+1 = h^n h and non-negative INTEGERS n, If n is a negative integer then h^n is only defined if h has an inverse in S. Monoids define many STRUCTURES including GROUPS and rings (under multiplication).



Discussion

No Comment Found

Related InterviewSolutions