Finite field proof, Let F be a finite field. Prove that

Finite field proof

Reference no: EM13132180

Let F be a finite field. Prove that F[x] contains infinitely many primes. (note that over an infinite field the polynomials of degree 1 are an infinite set of primes in the ring of polynomials).

Reference no: EM13132180

Questions Cloud

Estimate the regression equation of wage : Estimate the regression equation of wage on educ. Write down formally the regression equation with standard errors underneath within parenthesis.

Calculate the total of number of moles of cl- : .134 mol of KCl and .230 mole of CaCl2 were dissolved in water. Calculate the total of number of moles of Cl- of ions in the solution ?

Perform a z test using five steps hypothesis testing : Carry out a Z test using the five steps hypothesis testing with a two-tailed test at the .05 significance level, and make a drawing of the distributions involved.

Calculate controlling interest in consolidated net income : Now assume that the merchandise mentioned was included in Pearce's inventory, having been purchased from Searl. Calculate controlling interest in consolidated net income for 2011 and 2012.

Finite field proof : Let F be a finite field. Prove that F[x] contains infinitely many primes. (note that over an infinite field the polynomials of degree 1 are an infinite set of primes in the ring of polynomials).

Governmental units that issue tax- supported debt : Which of the following is a true statement about governmental units that issue tax- supported debt to finance capital projects?

Determining number code puzzle : An AE student named Seoung devises a coded system of arithmetic for keeping his financial information private. His coded system of arithmetic is identical to the usual one except that each digit 0 to 9 has a value different than from standard arit..

What type of error have commited if null hypothesis is false : If you were to accept the null hypothesis, even though the null hypothesis was false, what type of error would you have commited?

Calculate the specific enthalpy of o2 in this state : Oxygen at 150 K and 41.64 atm has a tabulated specific volume of 4.684 cm3/g and a specific internal energy of 1706 J/mol.

User Account

All Pages