On lattices of topologies of unary algebras
type: Item
instance of: scholarly article
title: On lattices of topologies of unary algebras
zbMATH Open document ID: 1040.08004
DOI: 10.1023/A:1021969401929
author: A. V. Kartashova
published in: Journal of Mathematical Sciences (New York)
publication date: 2003-08-15T00:00:00Z
review text: A unar is an algebra with one unary operation. It is shown that the class of all lattices of topologies of unars is not axiomatizable. Further characterizations of those unars whose lattices of topologies are modular, distributive, complemented, pseudocomplemented, Boolean or chains are given, respectively. In particular, the conditions for modularity and distributivity are equivalent for lattices of topologies of unars.
Mathematics Subject Classification ID: 08A60
Mathematics Subject Classification ID: 54A10
zbMATH DE Number: 1964710
zbMATH Keywords: unar
zbMATH Keywords: topologies of algebras
zbMATH Keywords: lattice of topologies
reviewed by: Yuri Movsisyan
MaRDI profile type: Publication
full work available at URL: a:1021969401929
OpenAlex ID: W176008824
description: scientific article; zbMATH DE number 1964710