Which of the following mathematical systems are semigroups? Which are groups? (N, ∗), where a ∗ b = a for all a, b ∈ N.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.4: Cyclic Groups
Problem 12E: For each of the following values of n, find all distinct generators of the group Un described in...
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Which of the following mathematical systems are semigroups? Which are groups?

(N, ∗), where a ∗ b = a for all a, b ∈ N.    

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