Primitive varieties of algebras
type: Item
instance of: scholarly article
title: Primitive varieties of algebras
zbMATH Open document ID: 0934.08008
author: G. Čupona
author: Smile Markovski
published in: Algebra Universalis
publication date: 2000-02-27T00:00:00Z
review text: Let \(\Omega \) be a set of finitary functional symbols and \(f,g \in \Omega \). Then \(f(x_1,\ldots ,x_n)=g(x_1,\ldots ,x_m)\) is called a primitive identity. A set \(\Sigma \) of primitive identities is closed if \(\Sigma \models \Sigma '\) implies \(\Sigma ' \subseteq \Sigma \). A variety \(V\) is primitive if it is defined by a set of primitive identities. The main results are descriptions of closed sets of primitive identities and of free objects of primitive varieties.
reviewed by: Ivan Chajda
Mathematics Subject Classification ID: 08B20
zbMATH DE Number: 1407074
zbMATH Keywords: free algebra
zbMATH Keywords: primitive variety
zbMATH Keywords: primitive identity
MaRDI profile type: Publication
full work available at URL: s000120050052
OpenAlex ID: W2068233085
DOI: 10.1007/S000120050052
description: scientific article; zbMATH DE number 1407074