If I is an ideal in ring R then I x I is an ideal in R x R p

If I is an ideal in ring R, then I x I is an ideal in R x R, prove that (R x R)/ (I x I) is isomorphic to R/I x R/I.

Solution

A ring consist of set R together with binary operations of additions and multiplications.and it satisfinng the axioms called ring axioms.Ring satisfing the operations of both additions and multiplications.

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If I is an ideal in ring R, then I x I is an ideal in R x R, prove that (R x R)/ (I x I) is isomorphic to R/I x R/I.SolutionA ring consist of set R together wit

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