Characterizing almost Prüfer v-multiplication domains in pullbacks

Qing Li

Vol. 252 (2011), No. 2, 447–458

DOI: 10.2140/pjm.2011.252.447

Abstract

Let I be an ideal of an integral domain T, let φ : T → T∕I be the projection, let D be an integral domain contained in T∕I, and let R = φ⁻¹(D). We characterize when R is an almost Prüfer v-multiplication domain, an almost valuation domain, and an almost Prüfer domain, in the context of pullbacks.

Keywords

pullback, almost Prüfer v-multiplication domain, almost valuation domain, almost Prüfer domain

Mathematical Subject Classification 2000

Primary: 13G05, 13A15

Milestones

Received: 16 April 2010

Revised: 23 July 2010

Accepted: 31 July 2010

Published: 29 October 2011