(b) Let R = {3n : n e Z} and let U = {6n : n e Z}. Assumethat R, with the standard the standard integer addition andmultiplication operations, is a ring. Do the following.(1) Give the distinct members of the quotient ring R/U.(ii) Give the operation tables for the the quotient ring R/U.

Answered: Image /qna-images/answer/0b1de587-bc52-492e-9399-2e3ad16e41ae.jpg

Answered: (b) Let R = {3n : n e Z} and let U =…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.1: Definition Of A Ring

Problem 22E: 22. Define a new operation of addition in by and a new multiplication in by. a. Is a...

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(b) Let R = {3n : n e Z} and let U = {6n : n e Z}. Assume that R, with the standard the standard integer addition and multiplication operations, is a ring. Do the following. (1) Give the distinct members of the quotient ring R/U. (ii) Give the operation tables for the the quotient ring R/U.