On a weak form of equational compactness
type: Item
instance of: scholarly article
title: On a weak form of equational compactness
zbMATH Open document ID: 0934.08011
published in: Algebra Universalis
publication date: 2000-02-27T00:00:00Z
review text: It is shown that if \(\alpha \) is a cardinal number with uncountable cofinality then every finitely solvable system of \(\alpha \) equations over any countable algebra has a solvable subsystem consisting of \(\alpha \) equations. As an application, this property is used to generalize some results of Jensen and Lenzing on the non-compactness of ultrapowers of modules.
reviewed by: Ivan Chajda
Mathematics Subject Classification ID: 08C10
Mathematics Subject Classification ID: 13A10
Mathematics Subject Classification ID: 03C60
Mathematics Subject Classification ID: 08A45
zbMATH DE Number: 1407090
zbMATH Keywords: solvable system of equations
zbMATH Keywords: ultraproducts of modules
zbMATH Keywords: \(\alpha\)-compactness
author: Abdallah Laradji
MaRDI profile type: Publication
full work available at URL: s000120050068
OpenAlex ID: W2006187148
DOI: 10.1007/S000120050068
description: scientific article; zbMATH DE number 1407090