Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration


Abstract Algebra: An Introduction
Found in: Page 134
Abstract Algebra: An Introduction

Abstract Algebra: An Introduction

Book edition 3rd
Author(s) Thomas W Hungerford, David Leep
Pages 608 pages
ISBN 9781111569624

Answers without the blur.

Just sign up for free and you're in.


Short Answer

Show that the ring in Exercise 8 is not a field.

There is no inverse for element [x].

See the step by step solution

Step by Step Solution

Step 1: Determine function ring is not field

Consider the ring in that there is no inverse for the element [x]. Now assume a0+a1x is an inverse. That means


It is a contradiction as there is no a0, so that x2a0x-1.

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.