Amalgamation in finite dimensional cylindric algebras
type: Item
instance of: scholarly article
title: Amalgamation in finite dimensional cylindric algebras
zbMATH Open document ID: 1011.03050
author: Maarten Marx
published in: Algebra Universalis
publication date: 2003-04-23T00:00:00Z
review text: Let \(\alpha \) be an ordinal. Let \(CA_{\alpha }, RCA_{\alpha }, NCA_{\alpha } \) denote the classes of all \(\alpha \)-dimensional cylindric algebras, representable cylindric algebras and noncommutative cylindric algebras, respectively. It was shown by S. Comer that for finite \(n>1\), the embedding property fails in any class between \(RCA_n \) and \(CA_n\). On the other hand, I. Neméti proved that for any \(\alpha \) the class \(NCA_{\alpha }\) has the strong amalgamation property. The author presents a new proof of the last statement and describes large enough classes \(K_n\) of \(n\)-dimensional cylindric algebras satisfying certain conditions which fail to enjoy the embedding and/or amalgamation property.
reviewed by: Ivan Chajda
Mathematics Subject Classification ID: 03G15
Mathematics Subject Classification ID: 03C40
zbMATH DE Number: 1899924
zbMATH Keywords: embedding property
zbMATH Keywords: amalgamation property
zbMATH Keywords: cylindric algebra
zbMATH Keywords: noncommutative cylindric algebra
MaRDI profile type: Publication
full work available at URL: s000120050144
OpenAlex ID: W2065030569
DOI: 10.1007/S000120050144
description: scientific article; zbMATH DE number 1899924