Recent content by ksk104

  1. K

    Proving 1+x is a Unit in a Ring for x^n=0

    Homework Statement Let R be a ring and x in R such that x^n=0 for some n show that 1 + x is a unit. I know then that x is a zero divisor and I need to find y such that y(1+x) = 1. I can see in examples that this works and I can prove it for Z mod n. I can't figure out how to prove it...
  2. K

    Solving Modulo a Prime: x^3 + 2y^3 =5

    Homework Statement Show the equation x^3 + 2y^3 =5 has no solution for x,y in Z, by considering it modulo a prime Homework Equations The Attempt at a Solution I need help starting this problem, I've been stuck on it for a while and don't even have a clue of how to start it. Thanks