Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. let e be an extension field of a finite field f, w

Let E be an extension field of a finite field F, where F has q elements....

60.1K

Verified Solution

Question

Advance Math

Let E be an extension field of a finite field F, where F has qelements. Let a in E be an element which is algebraic over F withdegree n. Show that F(a) has q^n elements. Please provide an uniqueanswer and motivate all steps carefully. I also prefer that thesolution is provided as written notes.

Answer & Explanation Solved by verified expert
4.3 Ratings (805 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

Q

Suppose that we are interested I the number of heads showing face up on three tosses...

Advance Math
Q

Which bone(s) is/are located... Anterior to the proximal end of the tibia? Lateral to the superior end...

Medical Sciences
Q

Explain the impacts of Canadian firms learning positive economic news about the future in the context...

Economics
Q

Enumerate the benefits of using authentic materials in language teaching. Select one authentic material to teach...

Psychology
Q

1. Open m file of sampandquant, uniquan and Prelab4 in MATLAB. a. Set the quantization levels of...

Electrical Engineering
Q

An e m f of 15 volts is applied in a circuit containin henry inductance...

Physics
Q

Suppose that two attributes w and u both measures of net funness have been recorded...

Statistics
Q

and the number of rotation symmetries with angle measures for each figure s rotations Draw...

Algebra
Q

A firm manufactures a product that sells for 16$ per unit. Variable cost per unit...

Accounting
Q

The predetermined overhead rate for Sheridan Company is $5, comprised of a variable overhead rate...

Accounting
Q

The entry to record a sale of $700 with terms of 2/10, n/30 will include...

Accounting
Q

an individual receives interest income of $16,887 in 2019. the individual is in the top...

Accounting