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- G-ring abstract "In commutative algebra, a G-ring or Grothendieck ring is a Noetherian ring such that the map of any of its local rings to the completion is regular (defined below). Almost all Noetherian rings that occur naturally in algebraic geometry or number theory are G-rings, and it is quite hard to construct examples of Noetherian rings that are not G-rings. The concept is named after Alexander Grothendieck.A ring that is a both G-ring and a J-2 ring is called a quasi-excellent ring, and if in addition it is universally catenary it is called an excellent ring.".
- G-ring wikiPageExternalLink item?id=PMIHES_1965__24__5_0.
- G-ring wikiPageID "10093989".
- G-ring wikiPageLength "3169".
- G-ring wikiPageOutDegree "18".
- G-ring wikiPageRevisionID "635997351".
- G-ring wikiPageWikiLink Alexander_Grothendieck.
- G-ring wikiPageWikiLink Algebraic_geometry.
- G-ring wikiPageWikiLink Category:Commutative_algebra.
- G-ring wikiPageWikiLink Catenary_ring.
- G-ring wikiPageWikiLink Commutative_algebra.
- G-ring wikiPageWikiLink Completion_(algebra).
- G-ring wikiPageWikiLink Excellent_ring.
- G-ring wikiPageWikiLink Field_(mathematics).
- G-ring wikiPageWikiLink Frobenius_endomorphism.
- G-ring wikiPageWikiLink Geometrically_regular_ring.
- G-ring wikiPageWikiLink J-2_ring.
- G-ring wikiPageWikiLink Local_ring.
- G-ring wikiPageWikiLink Noetherian_ring.
- G-ring wikiPageWikiLink Number_theory.
- G-ring wikiPageWikiLink Popescu’s_theorem.
- G-ring wikiPageWikiLink Regular_ring.
- G-ring wikiPageWikiLink nowiki%3Ex%3Cnowiki%3E.
- G-ring wikiPageWikiLinkText "G-ring".
- G-ring wikiPageUsesTemplate Template:For.
- G-ring subject Category:Commutative_algebra.
- G-ring hypernym Ring.
- G-ring type AnatomicalStructure.
- G-ring comment "In commutative algebra, a G-ring or Grothendieck ring is a Noetherian ring such that the map of any of its local rings to the completion is regular (defined below). Almost all Noetherian rings that occur naturally in algebraic geometry or number theory are G-rings, and it is quite hard to construct examples of Noetherian rings that are not G-rings.".
- G-ring label "G-ring".
- G-ring sameAs Q17097924.
- G-ring sameAs Grothendieck-ring.
- G-ring sameAs m.0wktmwq.
- G-ring sameAs Q17097924.
- G-ring wasDerivedFrom G-ring?oldid=635997351.
- G-ring isPrimaryTopicOf G-ring.