1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Nil radical proof

  1. Dec 7, 2006 #1
    1. The problem statement, all variables and given/known data
    Let A be any ideal of a commutative ring with unity R. Show that the nil radical of A, N(A)= {r|r^n is in A} where n is a positive integer, and n depends on r.


    2. Relevant equations



    3. The attempt at a solution

    i dont quite understand the concept of the nil radical of A, what would be an element of this ideal? the unity element is in for every n a positive integer, so it's non empty but i'm still a little confused.
     
  2. jcsd
  3. Dec 7, 2006 #2

    AKG

    User Avatar
    Science Advisor
    Homework Helper

    Is the equation you have a definition, or something you're asked to prove? If it's a definition, then what are you being asked to prove? If you're being asked to prove that equation, then what's the definition of N(A)?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Nil radical proof
  1. Deriving with Radicals (Replies: 3)

  2. Nested Radicals (Replies: 7)

Loading...