Median algebras acting on sets
type: Item
instance of: scholarly article
title: Median algebras acting on sets
zbMATH Open document ID: 0770.06005
DOI: 10.1007/BF01190774
author: G. C. Meletiou
published in: Algebra Universalis
publication date: 1993-05-16T00:00:00Z
review text: A distributive polylattice is a set \(S\) with a family \(N\) of mutually distributive semilattice operations [see \textit{J. Płonka}, Fundam. Math. 62, 293-300 (1968; Zbl 0187.287)]. The author shows that the set \(N\) generates a symmetric median algebra \(M\) acting on \(S\).
Mathematics Subject Classification ID: 06D99
zbMATH DE Number: 165804
zbMATH Keywords: family of mutually distributive semilattice operations
zbMATH Keywords: distributive polylattice
zbMATH Keywords: symmetric median algebra
reviewed by: J. R. Isbell
MaRDI profile type: Publication
cites work: A representation theorem for distributive quasi-lattices
cites work: Median algebras
cites work: A ternary operation in distributive lattices
cites work: Ternary Boolean algebra
cites work: Subdirect decomposition of distributive quasilattices
cites work: On distributive n-lattices and n-quasilattices
cites work: Medians and Betweenness
description: scientific article; zbMATH DE number 165804