i need the answer quickly Q Show that Z12/27) is aquatient ring.

We have to show that , ℤ12(4¯) is a quotient ring.

Answered: Q Show that Z12/17) is a quatient ring.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.4: Maximal Ideals (optional)

Problem 3E

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Similar questions

Let R be a commutative ring with unity whose only ideals are {0} and R Prove that R is a field.(Hint: See Exercise 30.)
Prove that every ordered integral domain has characteristic zero.
Prove that if a subring R of an integral domain D contains the unity element of D, then R is an integral domain. [Type here][Type here]
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Prove the conjecture made in the previous exercise.
Prove the half of Theorem 3.3 (e) that was not proved in the text.
Find all monic irreducible polynomials of degree 2 over Z3.
If e is the unity in an integral domain D, prove that (e)a=a for all aD. [Type here][Type here]
Exercises If and are two ideals of the ring , prove that is an ideal of .
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