Splitting field proofs, Let K1 and K2 be finite extensions

Splitting field proofs

Reference no: EM13132338

Let K1 and K2 be finite extensions of F contained in the field K, and assume both are splitting fields over F

1. Prove that their composite K1K2 is splitting field over F.

2. Prove that K1^K1 is a splitting field over F.

Reference no: EM13132338

Questions Cloud

Ethics affectted the financial results : What is an example of a potentially unethical accounting situation? Why is the situation unethical? What is meant by the statement, "You cannot teach ethics"? How do ethics affect the financial results of a company?

Compute the concentration of the acetate ion : Calculating the concentration of the acetate ion when dissociation of acetic acid occurs in water and over varying pH conditions? I am a process engineer in wood pulping operation in which we use steam to digest hardwood chips. This is non-chemica..

What is the contribution of a faster rate of capital growth : What is the contribution of the growth of total factor productivity growth (dA/A) to that growth? What is the contribution of a faster rate of capital growth compared to labor force growth α[dK/K - dL/L] to increases in Y/L?

Earnings per share of common stock : Dividends on common stock were $2.05 per share and dividends on preferred stock were $1.80 per share. The earnings per share of common stock is closest to:

Splitting field proofs : Let K1 and K2 be finite extensions of F contained in the field K, and assume both are splitting fields over F. Prove that their composite K1K2 is splitting field over F.

Calculate the maintenance cost : Calculate the maintenance cost that would be budgeted for the month of May in which 5,700 machine hours are planned to be used.

Explain the reaction : Explain the Reaction, If you treat an aldehyde wiith HCN you produce a cyanohydrin. For example

Trees and graphs-vertices and edges : If there 5 sections of Discrete Math with a total enrollment of 31 students, what is the smallest possible number of students in the section with the largest enrollment?

N crime and punishment : n Crime and Punishment, the characters Raskolnikov, Luzhin, and Svidrigaïlov are all villains. What, exactly, is each one guilty of? Hoiw do they face their guilt, and what are the consequences for each?

User Account

All Pages