A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is
Let (R, T ) be a normal pair of commutative rings (i.e., R ⊆ T is a unital extension of commutative rings, not necessarily integral domains, such that S is integrally closed in T for each ring S such that R ⊆ S ⊆ T ) such that the total quotient ring of R is a von Neumann regular ring. Let P be one of the following ring-theoretic properties: going-down ring, extensionally going-down (EGD) ring, locally divided ring. Then R has P if and only if T has P. An example shows that the "if" part of thedoi:10.5666/kmj.2011.51.1.001 fatcat:4zgviwpkijcjrpxoj65fgtfeky