On Grätzer's problem
type: Item
instance of: scholarly article
title: On Grätzer's problem
zbMATH Open document ID: 0908.06002
author: Nguyen Duc Dat
published in: Acta Mathematica Vietnamica
publication date: 1998-12-15T00:00:00Z
review text: Grätzer's Problem 1.4 consists in finding conditions under which a lattice \(L\) is determined up to isomorphism by \(\text{Sub}(L)\). The main result of the present paper gives a sufficient condition for a lattice \(L\) under which \(L\) is determined by \(\text{Sub}(L)\) up to an isomorphism or a dual isomorphism. This extends some previous results of the author [Hanoi Univ. J. Sci. 4, 8-12 (1993); Vietnam J. Math. 24, 75-82 (1996); Vietnam Natl. Univ. J. Sci. 3, 6-9 (1995)].
Mathematics Subject Classification ID: 06B05
zbMATH DE Number: 1208052
zbMATH Keywords: lattice
zbMATH Keywords: system of sublattices
zbMATH Keywords: contractible sublattice
reviewed by: Ján Jakubík
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1208052