1-distributive lattice with pm-property
type: Item
instance of: scholarly article
zbMATH Open document ID: 0981.06003
publication date: 2001-11-01T00:00:00Z
Mathematics Subject Classification ID: 06B10
Mathematics Subject Classification ID: 06B30
zbMATH DE Number: 1599364
zbMATH Keywords: 1-distributive lattices
zbMATH Keywords: pm-property
zbMATH Keywords: Stone space
zbMATH Keywords: normal topological space
zbMATH Keywords: prime ideal
zbMATH Keywords: maximal ideal
MaRDI profile type: Publication
author: Y. S. Pawar
author: H. V. Patil
title: 1-distributive lattice with pm-property
published in: Bulletin of the Calcutta Mathematical Society
review text: A lattice is said to be 1-distributive if it possesses a top element and each maximal ideal in it is prime. It is proved that the Stone space of a 1-distributive lattice \(L\) is normal if and only if each prime ideal in \(L\) is contained in a unique maximal ideal.
reviewed by: Josef Niederle
description: scientific article; zbMATH DE number 1599364