The prime spectrum of a two-dimensional affine domain
type: Item
instance of: scholarly article
title: The prime spectrum of a two-dimensional affine domain
zbMATH Open document ID: 0592.13002
DOI: 10.1016/0022-4049(86)90041-1
author: Roger Wiegand
published in: Journal of Pure and Applied Algebra
publication date: 1986-01-01T00:00:00Z
review text: Let A be a two-dimensional domain which is finitely generated as an algebra over a field k. The main theorem of this paper is that the partially ordered sets Spec A and Spec \({\mathbb{Z}}[X]\) are isomorphic if and only if k is contained in the algebraic closure of a finite field. The proof makes use of an axiomatic description of the poset Spec \({\mathbb{Z}}[X]\). (We have let \({\mathbb{Z}}\) denote the integers.)
reviewed by: Andrew Kustin
Mathematics Subject Classification ID: 13A15
Mathematics Subject Classification ID: 13F20
Mathematics Subject Classification ID: 14A05
zbMATH DE Number: 3950669
zbMATH Keywords: spectrum of polynomial ring
MaRDI profile type: Publication
full work available at URL: 0022-4049(86)90041-1
OpenAlex ID: W1972493071
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description: scientific article; zbMATH DE number 3950669