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Need help about Quotient Rings (Factor Rings)

  1. Oct 9, 2012 #1
    Suppose S is an Ideal of a Ring R
    I want to verify the multiplication operation in the Factor Ring R/S which is
    (S + a)(S + b) = (S + ab)
    for this i Need to show that :
    (S + ab) ≤ (S +a)(S + b)
    please give me some idea about it
    IT IS GIVEN AS DEFINITION IN THE BOOK I.N Herstein
     
  2. jcsd
  3. Oct 15, 2012 #2
    It might help to consider a concrete example such as S=5Z with a=2 and b=3.
     
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