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Let R beacommutativeringwithidentity 1 , where 1 = 0 . Provethatif P isan idealin R , then P isprimeifandonlyif R / P isanintegraldomain. begin{array}{l}{text {
LetRbeacommutativeringwithidentity1,where1=0.ProvethatifPisanidealinR,thenPisprimeifandonlyifR/Pisanintegraldomain.
\begin{array}{l}{\text { Let } R \text { be a commutative ring with identity } 1, \text { where } 1 eq 0 . \text { Prove that if } P \text { is an}} \\ {\text {ideal in } R, \text { then } P \text { is prime if and only if } R / P \text { is an integral domain. }}\end{array}
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