An element in PID is prime iff it is irreducible - Ring Theory - Lesson 67

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An element in PID is prime iff it is irreducible. An element in PID is prime iff it is irreducible.
FLOW Units Associates Irreducibles and Primes FLOW Units Associates Irreducibles and Primes
An element in a PID is prime Element iff it is Irreducible. An element in a PID is prime Element iff it is Irreducible.
Proof: Prime Ideals are Maximal in a PID Proof: Prime Ideals are Maximal in a PID
NONZERO PRIME IDEAL IN P.I.D. IS MAXIMAL IDEAL...WHY...?? NONZERO PRIME IDEAL IN P.I.D. IS MAXIMAL IDEAL...WHY...??
An principal ideal p(x) is Maximal iff p(x) is irreducible over F (field) An principal ideal p(x) is Maximal iff p(x) is irreducible over F (field)
(p) is maximal Ideal in PID iff p is irreducible element - Ring Theory - Lesson 69 (p) is maximal Ideal in PID iff p is irreducible element - Ring Theory - Lesson 69
FLOW In a PID Irreducibles Are Prime FLOW In a PID Irreducibles Are Prime