Finite type extensions and coherence

Ira J. Papick

Vol. 78 (1978), No. 1, 161–172

DOI: 10.2140/pjm.1978.78.161

Abstract

The purpose of this paper is to study the relationships between coherence, finite type extensions, and certain especial orderings on the spectrum of a commutative integral domain R. Applications of the techniques developed include a partial answer to a question of Vasconcelos concerning the integral closure of a 1-dimensional, local, coherent domain, the existence and construction of an interesting class of coherent domains that remain coherent under polynomial adjunction, and new characterizations of domains previously defined topologically.

Mathematical Subject Classification 2000

Primary: 13B02

Secondary: 13F05, 13G05

Milestones

Received: 2 September 1977

Revised: 15 February 1978

Published: 1 September 1978