the theory of commutative rings, a quasi-unmixed ring (also called a formally equidimensional ring in EGA) is a Noetherian ring A {\displaystyle A} such...
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proved the unmixedness theorem for polynomial rings, and for Irvin Cohen (1946), who proved the unmixedness theorem for formal power series rings. All Cohen–Macaulay...
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scheme Profinite integer Locally compact field Zariski ring Linear topology Quasi-unmixed ring "Stacks Project — Tag 0316". stacks.math.columbia.edu....
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Minimal prime ideal (redirect from Equidimensional ring)
domain and a local Cohen–Macaulay ring are equidimensional. See also equidimensional scheme and quasi-unmixed ring. Extension and contraction of ideals...
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Glossary of commutative algebra (redirect from Glossary of commutative ring theory)
local ring in books that assumed local rings to be Noetherian. 4. quasi-unmixed; see formally equidimensional. quotient 1. A quotient of a ring by an...
66 KB (9,767 words) - 00:23, 7 July 2024
sense. Let T be a regular chain in the polynomial ring R. The saturated ideal sat(T) is an unmixed ideal with dimension n − |T|. A regular chain holds...
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known with the following epithets: Acratophorus, Ἀκρατοφόρος ("giver of unmixed wine"), at Phigaleia in Arcadia. Acroreites at Sicyon. Adoneus, a rare...
220 KB (25,180 words) - 18:42, 14 November 2024