Answered: Find a homomorphism from the group (Q,…

Find a homomorphism from the group (Q, +) to (R, +). Find a one-one map if exist from Q to R that is not onto, also find an onto map if exist from Q to R that is not one-one.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 44E: 44. Let be a subgroup of a group .For, define the relation by ...

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Find a homomorphism from the group (Q, +) to (R, +). Find a one-one
map if exist from Q to R that is not onto, also find an onto map if exist
from Q to R that is not one-one.

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