• 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...
    3 KB (421 words) - 06:09, 5 May 2024
  • 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...
    23 KB (3,118 words) - 06:30, 6 July 2024
  • domain and a local Cohen–Macaulay ring are equidimensional. See also equidimensional scheme and quasi-unmixed ring. Extension and contraction of ideals...
    7 KB (1,222 words) - 15:29, 6 February 2024
  • scheme Profinite integer Locally compact field Zariski ring Linear topology Quasi-unmixed ring "Stacks Project — Tag 0316". stacks.math.columbia.edu....
    10 KB (1,581 words) - 15:25, 8 May 2024
  • 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...
    10 KB (1,413 words) - 09:09, 5 May 2024
  • Thumbnail for Dionysus
    known with the following epithets: Acratophorus, Ἀκρατοφόρος ("giver of unmixed wine"), at Phigaleia in Arcadia. Acroreites at Sicyon. Adoneus, a rare...
    215 KB (24,897 words) - 20:33, 10 October 2024