Algebraically birational extensions
type: Item
instance of: scholarly article
title: Algebraically birational extensions
zbMATH Open document ID: 0828.16033
author: Mohammed Abbas Nouh
author: Fred Van Oystaeyen
published in: Journal of Algebra
publication date: 1995-04-11T00:00:00Z
full work available at URL: 5098.pdf
review text: Birational algebras are generalizations of Zariski central rings. Their definition is purely topological, in terms of open sets in the Zariski topology. The paper adds an algebraic condition (which is intrinsically non-commutative) in order to obtain non-commutative information from central information. The basic tools introduced in this paper lead to what might be called the ideal theory of birational extensions.
Mathematics Subject Classification ID: 16S60
Mathematics Subject Classification ID: 14E05
Mathematics Subject Classification ID: 16S70
Mathematics Subject Classification ID: 16D25
zbMATH DE Number: 734559
zbMATH Keywords: birational algebras
zbMATH Keywords: Zariski central rings
zbMATH Keywords: ideal theory of birational extensions
reviewed by: Constantin Năstăsescu
MaRDI profile type: Publication
OpenAlex ID: W1998840180
DOI: 10.1006/JABR.1995.1005
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description: scientific article; zbMATH DE number 734559