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Ideal help

  1. Jun 21, 2011 #1
    1. The problem statement, all variables and given/known data

    Show that the ideal J=(a^2, abc, ac^2, c^3) cannot be generated by less than 4 monomials.

    2. Relevant equations

    None

    3. The attempt at a solution

    I was thinking of computer a Groebner basis for this (which is what I ended up doing) However, I'm not sure how I can show there it cannot be generated by less than 4 monomials.

    I do know that this ideal is indeed also a Groebner basis, but not sure where to go from here.
     
  2. jcsd
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