Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

I Zero divisors of an endomorphism ring

  1. Jun 14, 2018 #1
    Let (A,+) be an Abelian group. Consider the ring E=End(A,A) of endomorphisms on the set A, with binary operations +, and *, where (f+g)(x)=f(x) + g(x), and (f*g)=f∘g.
    I have tried to find zero divisors in this ring, but I just couldn't come up with an example.
     
  2. jcsd
  3. Jun 14, 2018 #2

    fresh_42

    User Avatar
    2017 Award

    Staff: Mentor

    Have you heard about nilpotent endomorphisms / matrices?
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted