Answered: Given that A and B is a group. Find out…

Given that A and B is a group. Find out if : A→B is a homomorphism. If it is a homomorphism, also find out if it is an isomorphism. b.) A= (R, +), B= (Z,+), ¢(x) = [x]. (floor function)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.5: Isomorphisms

Problem 28E

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Given that A and B is a group. Find out if : A→B is a homomorphism. If it is a homomorphism, also
find out if it is an isomorphism.
b.) A= (R, +), B= (Z,+), ¢(x) = [x]. (floor function)

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