Answered: Does the set of all positive rationals…

Does the set of all positive rationals form a group with the multiplication operation? Either verify all of the conditions of the definition, or else show that one condition fails.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.7: Direct Sums (optional)

Problem 19E: 19. a. Show that is isomorphic to , where the group operation in each of , and is addition. ...

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Does the set of all positive rationals form a group with the multiplication operation? Either verify all of the conditions of the definition, or else show that one condition fails.

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