Noetherianness is quotient-closed
This article gives the statement, and possibly proof, of a commutative unital ring property satisfying a commutative unital ring metaproperty
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Statement
Property-theoretic statement
The property of commutative unital rings of being Noetherian is quotient-closed.
Verbal statement
Any quotient ring of a Noetherian ring by an ideal is also Noetherian.