Building Noetherian and non-Noetherian integral domains using power series (Q2741199)

The authors describe in this expository paper a technique from the 1930s, which uses power series, homomorphic images and intersections involving a Noetherian integral domain \(R\) and a homomorphic image \(S\) of a power series ring extension of \(R\) to obtain a new integral domain \(A\). In the article, \(A\) has the form \(A=L\cap S\), where \(L\) is a field between the fraction field of \(R\) and the total quotient ring of \(S\).NEWLINENEWLINEFor the entire collection see [Zbl 0964.00058].