An ideal of commutative ring with unity R is prime ideal iff R/I is integral domain.Lec-11

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An ideal I of Commutative Ring with unity R is prime if and only if R/I is Integral Domain An ideal I of Commutative Ring with unity R is prime if and only if R/I is Integral Domain
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
Abstract Algebra | Maximal and prime ideals. Abstract Algebra | Maximal and prime ideals.
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
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 - Important result on Prime Ideal | Ring Theory I is a Prime Ideal iff R/I is an Integral domain - Important result on Prime Ideal | Ring Theory
Maximal Ideals Maximal Ideals
Prime Ideals Prime Ideals