Question

What is the relation between minimal prime and associated prime?

Answer 1

A direct proof that minimal primes are associated. It is a well-known theorem that, for a Noetherian ring A, the minimal primes of A are among the associated primes of A; i.e., for every minimal prime p of A, there is an element f∈A such that Ann(f)=p.

KILLER ✌

Answer 2

Answer:

A direct proof that minimal primes are associated. It is a well-known theorem that, for a Noetherian ring A, the minimal primes of A are among the associated primes of A; i.e., for every minimal prime p of A, there is an element f∈A such that Ann(f)=p.