Answered: Define on N the operation * by a*b =…

Define on N the operation * by a*b = a^b, for all a,b element of N. This binary structure is a groupoid but not a semigroup a semigroup but not a monoid a monoid but not a group O an abelian group

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.5: Normal Subgroups

Problem 13E: Exercise 8 states that every subgroup of an abelian group is normal. Give an example of a nonabelian...

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Question

Define on N the operation * by a*b =
a^b, for all a,b element of N. This
binary structure is
a groupoid but not a semigroup
a semigroup but not a monoid
a monoid but not a group
O an abelian group

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