Positive algebras with Noetherian congruence lattices
type: Item
instance of: scholarly article
title: Positive algebras with Noetherian congruence lattices
zbMATH Open document ID: 0794.03060
DOI: 10.1007/BF00971109
author: N. Kh. Kasymov
published in: Siberian Mathematical Journal
publication date: 1993-03-18T00:00:00Z
review text: We prove that there exist nonconstructivizable positively presented finitely generated algebras with noetherian lattices of congruences; an algorithmic criterion is exhibited which, if valid in an algebra with a noetherian congruence lattice, ensures that the algebra has a finitely generated positive enrichment.
Mathematics Subject Classification ID: 03D45
Mathematics Subject Classification ID: 08A30
Mathematics Subject Classification ID: 06F10
zbMATH DE Number: 130789
zbMATH Keywords: positively presented algebras
zbMATH Keywords: finitely generated algebras
zbMATH Keywords: noetherian lattices
zbMATH Keywords: positive enrichment
MaRDI profile type: Publication
cites work: Rekursive Algebren mit Kettenbedingungen
full work available at URL: https://doi.org/10.1007/bf00971109
OpenAlex ID: W2031026629
Recommended article: Positive algebras with countable congruence lattices
Recommended article: Positive algebras with congruences of finite index
Recommended article: Q3362859
Recommended article: Lattices over Noetherian algebras
Recommended article: Congruence lattices of \(p\)-algebras
Recommended article: Congruence lattices of finite algebras
Recommended article: Congruence lattices of finite \(p\)-algebras
Recommended article: Q4298441
Recommended article: Noetherian and Artinian lattices
description: scientific article; zbMATH DE number 130789