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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


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    2018 Award

    Staff: Mentor

    Have you heard about nilpotent endomorphisms / matrices?
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