Oct 12, 2012 · The definition of normalization: If A is an integral domain, we say that A is normal if it is integrally closed in its field of fractions.
Our approach avoids the increasing complexity when enlarging the rings, benefiting from the finitely generated A-module structure of the normalization. We are ...
Normalization of a ring. ¯A = {b ∈ Q(A) : b integral over A}, integral closure of A in the total ring of fractions Q(A). A is normal if A = ¯A.
Feb 12, 2020 · Normalizing rings is a new class of rings introduced in this manuscript. We provide a characterization of such rings as well as nontrivial examples.
Missing: Normalization | Show results with:Normalization
10.37 Normal rings · R is a normal ring, · R is integrally closed in its total ring of fractions, and · R is a finite product of normal domains.
Abstract. We present a new algorithm to compute the integral closure of a reduced Noetherian ring in its total ring of fractions. A modification, applicable in ...
Abstract. We present a new algorithm to compute the integral closure of a reduced Noetherian ring in its total ring of fractions.
A seminormal scheme or ring is reduced. A fortiori the same is true for absolutely weakly normal schemes or rings.
Apr 22, 2009 · Abstract:We present a new algorithm to compute the integral closure of a reduced Noetherian ring in its total ring of fractions.
Oct 1, 2009 · If X is a variety, the normalization X′→X is the maximal finite birational map to X, and the minimal dominant map from a normal variety to X.
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