Describe (in the sense of Exercise 1) the field F of quotients of the integral subdomain D

Question:

Describe (in the sense of Exercise 1) the field F of quotients of the integral subdomain D = {n + m√2| n, m ∈ Z} of R.

Data from Exercise 1

Describe the field F of quotients of the integral subdomain 

D = {n + mi |n, m ∈ Z} 

of C. "Describe" means give the elements of CC that make up the field of quotients of D in C. (The elements of D are the Gaussian integers.)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: