UGC NET CSE | June 2008 | Part 2 | Question: 4

Question

The set of positive integers under the operation of ordinary multiplication is:

(A) not a monoid          (B) not a group

(C) a group                   (D) an Abelian group

Answer 1

B> Not a group but monoid because the inverse element does not exist as they will not be integers

eg: the multiplicative inverse of 3 will be 1/3 which donot closed under positive integer 

Comments

Ooh sorry sorry  Dharmendra Lodhi 

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so monoid will be answer ?

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B is the answer . "Not  a group"