Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. let k ⊂ k be an extension of fields (not nec

Let k ⊂ K be an extension of fields (not necessarily finite-dimensional). Suppose f, g ∈...

60.1K

Verified Solution

Question

Advance Math

Let k ⊂ K be an extension of fields (not necessarilyfinite-dimensional). Suppose f, g ∈ k[x],

and f divides g in K[x] (that is, there exists h ∈ K[x] suchthat g = fh. Show that f divides

g in k[x].

Answer & Explanation Solved by verified expert
4.0 Ratings (431 Votes)
    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

Marx claims that under capitalism \"all that is solid melts into air.\" Why does he say...

Physics
1.2K views

Hello, please if you were to learn and teach these topics Counted systems and integers Fractions, decimals...

Psychology
1.2K views

In processing information people tend to pay more attention information that goes against what they believe...

Physics
1.2K views

A 2100-m-high mountain is located on the equator. How much faster does a climber on top...

Electrical Engineering
1.2K views

Write a detailed note on Radial basis function

Physics
1.2K views

12 x m 24 6 8 10 12 14 16 18 20 22 t sec...

Algebra
1.2K views

1 Find the value N such that the partial sum n 2 1 n In...

Accounting
1.2K views

24. Quick Response is b. C. d. A method of conducting physical inventory A cooperative...

Accounting
1.2K views

"Some researchers suggest that the challenges and disadvantages of global convergence of financial reporting are...

Accounting
1.2K views

Sunn Company manufactures a single product that sells for $225 per unit and whose variable...

Accounting
1.2K views

Answer in according to australian tax laws regulation and standard Hard Yakka...

Accounting
1.2K views

What are the accounting guidelines for contingent asset and contingent liability?