Noetherianness is quotient-closed: Difference between revisions
(New page: {{curing metaproperty satisfaction}} ==Statement== ===Property-theoretic statement=== The property of commutative unital rings of being Noetherian is [[quotient-...) |
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Latest revision as of 16:28, 12 May 2008
This article gives the statement, and possibly proof, of a commutative unital ring property satisfying a commutative unital ring metaproperty
View all commutative unital ring metaproperty satisfactions | View all commutative unital ring metaproperty dissatisfactions |Get help on looking up metaproperty (dis)satisfactions for commutative unital ring properties
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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.