On a Grätzer's problem
type: Item
instance of: scholarly article
title: On a Grätzer's problem
zbMATH Open document ID: 0618.06002
author: Hoang Minh Chuong
published in: Acta Mathematica Vietnamica
publication date: 1985-01-01T00:00:00Z
review text: Let L be a lattice and let Sub(L) stand for the lattice of all sublattices of L. The author proves the following theorem: Let L be a modular lattice of locally finite length such that L does not admit a linear decomposition. Then Sub(L) determines L up to an isomorphism and dual isomorphism. (This is a partial answer to Problem 1.4 in the book by \textit{G. Grätzer} [General Lattice Theory (1978; Zbl 0385.06014)].)
Mathematics Subject Classification ID: 06C05
Mathematics Subject Classification ID: 06B10
zbMATH DE Number: 4002144
zbMATH Keywords: lattice of sublattices
zbMATH Keywords: modular lattice of locally finite length
zbMATH Keywords: dual isomorphism
reviewed by: Pavel Pták
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4002144