Recent content by MupptMath

Can someone please explain the deconstruction and elements of this set. I understand it to be.. F3[X] = {f(x)=a(0)+a(1)X+...+a(n)X^n : a(i) in F3] <x^2+1> = {g(x)(x^2+1): g(x) in F3[x]] So an element in the quotient should be something like f(x)+<x^2+1> Yet, research shows there are nine...

Hi, I'm new here - just to clarify my understanding: How does (a,b)=(1,0) get to 1+sqrt{2}? Do you mean (a,b)=(1,1) is a solution so that 1+1*sqrt{2} is a unit? In order to generalize solutions to (1+sqrt{2})^k, k in Z, do we think about is as such.. if a is a unit, there exists b, such that...