An element in a PID is prime Element iff it is Irreducible.

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An element in PID is prime iff it is irreducible - Ring Theory - Lesson 67 An element in PID is prime iff it is irreducible - Ring Theory - Lesson 67
An element in PID is prime iff it is irreducible. An element in PID is prime iff it is irreducible.
(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
In UFD an element is Prime iff it is Irreducible - Theorem - Euclidean Domain - Lesson 30 In UFD an element is Prime iff it is Irreducible - Theorem - Euclidean Domain - Lesson 30
In PID, non zero element is PRIME if and only if it is IRREDUCIBLE In PID, non zero element is PRIME if and only if it is IRREDUCIBLE
In a PID Nonzero Nonunit Elements can be Factored into Irreducibles (Algebra 2: Lecture 6 Video 2) In a PID Nonzero Nonunit Elements can be Factored into Irreducibles (Algebra 2: Lecture 6 Video 2)
Primes and Irreducibles Part 1 Primes and Irreducibles Part 1
An Irreducible Element that is Not a Prime An Irreducible Element that is Not a Prime