On chains of purely transcendental field extensions
type: Item
instance of: scholarly article
title: On chains of purely transcendental field extensions
zbMATH Open document ID: 0728.12006
author: T. M. Viswanathan
author: Gervasio G. Bastos
author: László Fuchs
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1990-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108174
review text: Conditions are given under which the union of an ascending chain of purely transcendental extensions of a ground field k is again a purely transcendental extension of k. Torsionfree abelian groups are used to construct examples and counterexamples.
Mathematics Subject Classification ID: 12F20
zbMATH DE Number: 4202422
zbMATH Keywords: ascending chain
zbMATH Keywords: purely transcendental extensions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4202422