What is the relation between minimal prime and associated prime?
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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.
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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.
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