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- Cohen–Macaulay_ring abstract "In mathematics, a Cohen–Macaulay ring is a particular type of commutative ring, possessing some of the algebraic-geometric properties of a nonsingular variety, such as local equidimensionality.They are named for Francis Sowerby Macaulay (1916), who proved the unmixedness theorem for polynomial rings, and for Cohen (1946), who proved the unmixedness theorem for formal power series rings. All Cohen–Macaulay rings have the unmixedness property.In general, there is the following chain of implications: Universally catenary rings ⊃ Cohen–Macaulay rings ⊃ Gorenstein rings ⊃ complete intersection rings ⊃ regular local rings".
- Cohen–Macaulay_ring wikiPageExternalLink books?id=LF6CbQk9uScC.
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- Cohen–Macaulay_ring wikiPageRevisionID "682406541".
- Cohen–Macaulay_ring wikiPageWikiLink Algebraic_geometry.
- Cohen–Macaulay_ring wikiPageWikiLink Artinian_ring.
- Cohen–Macaulay_ring wikiPageWikiLink Associated_prime.
- Cohen–Macaulay_ring wikiPageWikiLink Cambridge_University_Press.
- Cohen–Macaulay_ring wikiPageWikiLink Category:Algebraic_geometry.
- Cohen–Macaulay_ring wikiPageWikiLink Category:Commutative_algebra.
- Cohen–Macaulay_ring wikiPageWikiLink Catenary_ring.
- Cohen–Macaulay_ring wikiPageWikiLink Cohen–Macaulay_ring.
- Cohen–Macaulay_ring wikiPageWikiLink Coherent_duality.
- Cohen–Macaulay_ring wikiPageWikiLink Coherent_sheaf.
- Cohen–Macaulay_ring wikiPageWikiLink Commutative.
- Cohen–Macaulay_ring wikiPageWikiLink Commutative_property.
- Cohen–Macaulay_ring wikiPageWikiLink Commutative_ring.
- Cohen–Macaulay_ring wikiPageWikiLink Complete_intersection_ring.
- Cohen–Macaulay_ring wikiPageWikiLink Completion_(algebra).
- Cohen–Macaulay_ring wikiPageWikiLink Completion_(ring_theory).
- Cohen–Macaulay_ring wikiPageWikiLink David_Eisenbud.
- Cohen–Macaulay_ring wikiPageWikiLink Depth_(algebra).
- Cohen–Macaulay_ring wikiPageWikiLink Depth_(ring_theory).
- Cohen–Macaulay_ring wikiPageWikiLink Derived_category.
- Cohen–Macaulay_ring wikiPageWikiLink Determinantal_ring.
- Cohen–Macaulay_ring wikiPageWikiLink Equidimensionality.
- Cohen–Macaulay_ring wikiPageWikiLink Gorenstein_ring.
- Cohen–Macaulay_ring wikiPageWikiLink Hardcover.
- Cohen–Macaulay_ring wikiPageWikiLink Hochster–Roberts_theorem.
- Cohen–Macaulay_ring wikiPageWikiLink Integrally_closed_domain.
- Cohen–Macaulay_ring wikiPageWikiLink Invertible_sheaf.
- Cohen–Macaulay_ring wikiPageWikiLink Krull_dimension.
- Cohen–Macaulay_ring wikiPageWikiLink Local_ring.
- Cohen–Macaulay_ring wikiPageWikiLink Localization_of_a_ring.
- Cohen–Macaulay_ring wikiPageWikiLink Mathematical_singularity.
- Cohen–Macaulay_ring wikiPageWikiLink Mathematics.
- Cohen–Macaulay_ring wikiPageWikiLink Noetherian_ring.
- Cohen–Macaulay_ring wikiPageWikiLink Normal_ring.
- Cohen–Macaulay_ring wikiPageWikiLink Polynomial_ring.
- Cohen–Macaulay_ring wikiPageWikiLink Prime_ideal.
- Cohen–Macaulay_ring wikiPageWikiLink Rational_singularity.
- Cohen–Macaulay_ring wikiPageWikiLink Reduced_ring.
- Cohen–Macaulay_ring wikiPageWikiLink Regular_local_ring.
- Cohen–Macaulay_ring wikiPageWikiLink Singularity_(mathematics).
- Cohen–Macaulay_ring wikiPageWikiLink Theorem.
- Cohen–Macaulay_ring wikiPageWikiLink Transactions_of_the_American_Mathematical_Society.
- Cohen–Macaulay_ring wikiPageWikiLink Universally_catenary_ring.
- Cohen–Macaulay_ring wikiPageWikiLink Unmixedness_theorem.
- Cohen–Macaulay_ring wikiPageWikiLink sup%3E.
- Cohen–Macaulay_ring wikiPageWikiLink sup%3E.
- Cohen–Macaulay_ring wikiPageWikiLinkText "Cohen–Macaulay ring".
- Cohen–Macaulay_ring wikiPageWikiLinkText "Cohen–Macaulay local ring".
- Cohen–Macaulay_ring wikiPageWikiLinkText "Cohen–Macaulay ring".
- Cohen–Macaulay_ring wikiPageWikiLinkText "Cohen–Macaulay ring#The unmixedness theorem".
- Cohen–Macaulay_ring wikiPageWikiLinkText "Cohen–Macaulay ring#unmixed".
- Cohen–Macaulay_ring wikiPageWikiLinkText "Cohen–Macaulay".
- Cohen–Macaulay_ring wikiPageWikiLinkText "Cohen–Macaulay_ring#The_unmixedness_theorem".
- Cohen–Macaulay_ring wikiPageWikiLinkText "Macaulay".
- Cohen–Macaulay_ring author "V.I. Danilov".
- Cohen–Macaulay_ring authorlink "Francis Sowerby Macaulay".
- Cohen–Macaulay_ring first "Francis Sowerby".
- Cohen–Macaulay_ring hasPhotoCollection Cohen–Macaulay_ring.
- Cohen–Macaulay_ring id "c/c022970".
- Cohen–Macaulay_ring last "Macaulay".
- Cohen–Macaulay_ring title "Cohen–Macaulay ring".
- Cohen–Macaulay_ring wikiPageUsesTemplate Template:Anchor.
- Cohen–Macaulay_ring wikiPageUsesTemplate Template:Brackets.
- Cohen–Macaulay_ring wikiPageUsesTemplate Template:Citation.
- Cohen–Macaulay_ring wikiPageUsesTemplate Template:Commutative_local_ring_classes.
- Cohen–Macaulay_ring wikiPageUsesTemplate Template:Distinguish.
- Cohen–Macaulay_ring wikiPageUsesTemplate Template:Harvs.
- Cohen–Macaulay_ring wikiPageUsesTemplate Template:Reflist.
- Cohen–Macaulay_ring wikiPageUsesTemplate Template:Springer.
- Cohen–Macaulay_ring wikiPageUsesTemplate Template:Vague.
- Cohen–Macaulay_ring year "1916".
- Cohen–Macaulay_ring subject Category:Algebraic_geometry.
- Cohen–Macaulay_ring subject Category:Commutative_algebra.
- Cohen–Macaulay_ring type Thing.
- Cohen–Macaulay_ring comment "In mathematics, a Cohen–Macaulay ring is a particular type of commutative ring, possessing some of the algebraic-geometric properties of a nonsingular variety, such as local equidimensionality.They are named for Francis Sowerby Macaulay (1916), who proved the unmixedness theorem for polynomial rings, and for Cohen (1946), who proved the unmixedness theorem for formal power series rings.".
- Cohen–Macaulay_ring label "Cohen–Macaulay ring".
- Cohen–Macaulay_ring differentFrom Cohen_algebra.
- Cohen–Macaulay_ring differentFrom Cohen_ring.
- Cohen–Macaulay_ring sameAs Cohen-Macaulay-Ring.
- Cohen–Macaulay_ring sameAs חוג_כהן-מקולי.
- Cohen–Macaulay_ring sameAs Anello_di_Cohen-Macaulay.
- Cohen–Macaulay_ring sameAs コーエン・マコーレー環.
- Cohen–Macaulay_ring sameAs 코언-매콜리_환.
- Cohen–Macaulay_ring sameAs m.02hjvp.
- Cohen–Macaulay_ring sameAs Q2893695.
- Cohen–Macaulay_ring sameAs Q2893695.
- Cohen–Macaulay_ring sameAs 科恩-麥考利環.
- Cohen–Macaulay_ring wasDerivedFrom Cohen–Macaulay_ring?oldid=682406541.
- Cohen–Macaulay_ring isPrimaryTopicOf Cohen–Macaulay_ring.