Ramification in infinite integral extensions
type: Item
instance of: scholarly article
title: Ramification in infinite integral extensions
zbMATH Open document ID: 0832.13008
author: William J. Heinzer
author: Shreeram S. Abhyankar
published in: Journal of Algebra
publication date: 1996-02-20T00:00:00Z
review text: The paper under review is the third of the authors' series on the theme of integral closure and ramification of prime ideals in infinite algebraic extensions. [For the two preceding papers see J. Algebra 136, No. 1, 197-247 (1991; Zbl 0815.13004) and ibid. 143, No. 2, 436-469 (1991; Zbl 0755.14015).] While in the first part the authors discussed the integral extensions of a quasilocal domain \(R\) which is compositumwise unramified over \(R\), here they relax the condition of compositumwise unramifiedness of essentially integral extensions by developing a systematic study of the behaviour of these properties by passing to integral extensions. The paper ends up by proposing a number of questions.
reviewed by: Lucian Bădescu
Mathematics Subject Classification ID: 13B22
Mathematics Subject Classification ID: 14E22
zbMATH DE Number: 705007
zbMATH Keywords: ramification
zbMATH Keywords: essentially integral extensions
MaRDI profile type: Publication
full work available at URL: jabr.1994.1367
OpenAlex ID: W2081672474
DOI: 10.1006/JABR.1994.1367
description: scientific article; zbMATH DE number 705007