Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. let r be a ufd and let f be a field of fractions f

Let R be a UFD and let F be a field of fractions for R. If...

80.2K

Verified Solution

Question

Advance Math

Let R be a UFD and let F be a field offractions for R. If f(?) = 0, wheref ? R [x] is monic and ? ?F, show that ? ? R

NOTE: A corollary is the fact that m ?Z and m is not an nthpower in Z, then n?m is irrational.

Answer & Explanation Solved by verified expert
3.6 Ratings (503 Votes)
An integral domain R with 1 is called a Unique FactorizationDomain if    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Psychology
1.2K views

How interesting is Italian fashion style wearing sunglasses at night or indoors.

General Management
1.2K views

Recology CleanScapes, formed when CleanScapes of Seattle merged with San Francisco–based Recology, provides recycling services to about...

Basic Math
1.2K views

Product Lemonade Eggs In a city that applies 6 sales tax how much money total...

Basic Math
1.2K views

Jason is planning to build a gazebo in the shape of a regular octagon. He...

Basic Math
1.2K views

The graph of the velocity of a car accelerating from rest to a speed of...

Statistics
1.2K views

The term Freshman 15 refers to the claim that college students typically gain 15 lb...

Accounting
1.2K views

Sawsan, age 70, is supported during the current year as follows: Percent...

Accounting
1.2K views

Superior Company provided the following data for the year ended December 31(all raw materials are...

Accounting
1.2K views

Multiple Choice Question 100 On October 1, 2021, Sheridan Company places a new asset into...

Accounting
1.2K views

?4x9+?5y8=536 A company that makes optical computer input devices has calculated their revenue and...

Accounting
1.2K views

A4 B All 2019 transactions have been recorded except for the items listed below the...

Accounting
1.2K views

Cash Payback period for a Service Company Jane's Clothing Inc. is evaluating two capital investment...