Cohen-Macaulay is polynomial-closed

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Revision as of 20:02, 9 March 2008 by Vipul (talk | contribs) (New page: {{curing metaproperty satisfaction}} ==Statement== ===Property-theoretic statement=== The property of commutative unital rings of being Cohen-Macaulay satisfi...)
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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 Cohen-Macaulay satisfies the metaproperty of commutative unital rings of being polynomial-closed.

Verbal statement

The polynomial ring in one variable over a Cohen-Macaulay ring, is again Cohen-Macaulay.

Definitions used

Facts used

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