Strong amalgamation of distributive lattices
type: Item
instance of: scholarly article
title: Strong amalgamation of distributive lattices
zbMATH Open document ID: 0692.06006
DOI: 10.1016/0021-8693(90)90033-K
published in: Journal of Algebra
publication date: 1990-01-01T00:00:00Z
review text: The main result of the paper is as follows: Let A and B be distributive lattices, and let S be a common sublattice of A and B. If there is a lattice L amalgamating A and B over S with the property that every lattice \(L'\) amalgamating A and B over S contains L as a sublattice (i.e. A, B, and S have the Unique Amalgamation Property), then the unique amalgam of A and B over S is distributive.
Mathematics Subject Classification ID: 06D05
zbMATH DE Number: 4132222
zbMATH Keywords: Unique Amalgamation Property
author: Ervin Fried
author: G. Grätzer
reviewed by: Josef Niederle
MaRDI profile type: Publication
cites work: Free Lattices Generated by Partially Ordered Sets and Preserving Bounds
cites work: Q3033802
cites work: Q4006296
cites work: Q4165427
cites work: Universal relational systems
cites work: Lattices freely generated by an order and preserving certain bounds
full work available at URL: 0021-8693(90)90033-k
OpenAlex ID: W1969102807
description: scientific article; zbMATH DE number 4132222