Noetherianness is quotient-closed

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Revision as of 22:19, 8 February 2008 by Vipul (talk | contribs) (New page: {{curing metaproperty satisfaction}} ==Statement== ===Property-theoretic statement=== The property of commutative unital rings of being Noetherian is [[quotient-...)
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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.

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