Question 3.(a) Prove or disprove: that the triple Zg, , constitutes a ring.(b) Find the set of units U(Z9), and state whether (U(Zg), o) forms a group or not. Justifyyour answer.(c) Prove or disprove each of the following: Given any two points a, b R in the ring, then (-a)b = (-b)a, and (a - b)c = ac-bc.

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lisprove: that the triple

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.1: Ideals And Quotient Rings

Problem 35E: Let R be a commutative ring with unity whose only ideals are {0} and R Prove that R is a...

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