A characterization of Prüfer domains in terms of polynomials

Robert William Gilmer, Jr. and Joseph F. Hoffmann

Vol. 60 (1975), No. 1, 81–85

DOI: 10.2140/pjm.1975.60.81

Abstract

Assume that D is an integral domain with identity and with quotient field K. Each element of K is the root of a polynomial f in D[X] such that the coefficients of f generate D if and only if the integral closure of D is a Prüfer domain.

Mathematical Subject Classification 2000

Primary: 13G05

Milestones

Received: 25 September 1974

Published: 1 September 1975