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...

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...

domain and a local Cohen–Macaulay ring are equidimensional. See also equidimensional scheme and quasi-unmixed ring. Extension and contraction of ideals...

scheme Profinite integer Locally compact field Zariski ring Linear topology Quasi-unmixed ring "Stacks Project — Tag 0316". stacks.math.columbia.edu....

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...

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...