Mathematics

Tomas

9 May, 07:39

et $R = / ZZ[/sqrt{-n}]$ where $n$ is a squarefree integer $> 3$. Prove that $2$, $/sqrt{-n}$, and $1 + / sqrt{-n}$ are all irreducible in $R$. / item Prove that $R$ is not a UFD. [Hint: Show that either $/sqrt{-n}$ or $1+/sqrt{-n}$ is not prime.] / item Find a non-principal ideal in R.

+2

Answers (1)

Know the Answer?

Not Sure About the Answer?

Find an answer to your question ✅ “et $R = / ZZ[/sqrt{-n}]$ where $n$ is a squarefree integer $> 3$. Prove that $2$, $/sqrt{-n}$, and $1 + / sqrt{-n}$ are all irreducible in ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.

Search for Other Answers

You Might be Interested in

Solution to m^2 - 36=0

What is the length of the shorter leg of a right triangle whose other two sides lengths are 8ft and 10ft long

The pilgrims and indians had a feast a big feast there was 10 more pilgrims than indians there were 150 people in all how many pilgrims and how many indians

What is the discontinuity and zero of the function f (x) = the quantity of 2 x squared plus 5 x minus 12, all over x plus 4? A. Discontinuity at (-4, - 11), zero at (three halves, 0) B.

According to this diagram, what is cos 16?

New Questions in Mathematics

A pan balance shows x+2=10. If you add 5 units to one side, can you balance the scale by adding x units to the other side. Explain?

A problem states there are 5 more girls than boys and girls there are 27 students in the class in all How many boys are in the class What are the unknowns in this problem A Number of students in the class B The number of boys in the class C The

find the value of this integer expression: - 2 (+3+-4+-8++7), calculation with distribution and calculation without distribution

How do you convert 947.4777960769379 to pi?

Four students measure the length of a minute-long trial four times. They record their measurements as shown. Julian: 57.3 seconds, 58.8 seconds, 59.5 seconds, 62.