I is a Prime Ideal iff R/I is an Integral domain - Important result on Prime Ideal | Ring Theory

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R/A is an Integral Domain iff A is Prime Ideal || Ring Theory R/A is an Integral Domain iff A is Prime Ideal || Ring Theory
I is a Prime Ideal iff R/I is an Integral Domain Proof I is a Prime Ideal iff R/I is an Integral Domain Proof
Proof: Prime Ideal iff R/P is Integral Domain; Maximal iff R/M is Field Proof: Prime Ideal iff R/P is Integral Domain; Maximal iff R/M is Field
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