no. of elements in $\mathbb Z[i]/\langle 3+i\rangle$.

Question

$\mathbb Z[i]/\langle 3+i\rangle$ can be represented as :$\{a+3b+\langle 3+i\rangle\big|~~a,b\in \mathbb Z\}$

How shall I find the total no. of elements in $\mathbb Z[i]/\langle 3+i\rangle$..

please provide some hint how should I proceed?

This answer solves your question and all the other particular questions like yours. In other words, this is the most asked question on M.SE, so you can use SEARCH. — user26857, Oct 19 '14 at 09:25

score 1 · Answer 1 · answered Oct 19 '14 at 06:46

1

Hint : $3 = -i$ in the given ring

answered Oct 19 '14 at 06:46

GA316

1 Answers1