Differential simplicity and complete integral closure

Yves A. Lequain

Vol. 36 (1971), No. 3, 741–751

DOI: 10.2140/pjm.1971.36.741

Abstract

Let R be an integral domain containing the rational numbers, and let R′ denote the complete integral closure of R. It is shown that if R is differentiably simple, then R need not be equal to R^r, even when R is Noetherian, and then the relationship between R and R^r is studied.

Mathematical Subject Classification

Primary: 13.10

Milestones

Received: 9 February 1970

Published: 1 March 1971