aw-Let Z[/2] = {a +b/2 |a, b e Z} and let H = {bа 2b: a,b eZ }.aShow that Z[ /2] and H are isomorphic as rings.

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Answered: aw- Let Z[/2] = {a +b/2 |a, b e Z} and…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.3: The Characteristic Of A Ring

Problem 22E: 22. Let be a ring with finite number of elements. Show that the characteristic of divides .

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aw- Let Z[/2] = {a +b/2 |a, b e Z} and let H = { b а 2b : a,b eZ }. a Show that Z[ /2] and H are isomorphic as rings.