Suppose S is an Ideal of a Ring R(adsbygoogle = window.adsbygoogle || []).push({});

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

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# Need help about Quotient Rings (Factor Rings)

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