Algebraic properties of crowns and fences
type: Item
instance of: scholarly article
title: Algebraic properties of crowns and fences
zbMATH Open document ID: 0695.08005
DOI: 10.1007/BF00341639
published in: Order
publication date: 1989-01-01T00:00:00Z
review text: The authors study the clones of all order preserving operations for crowns and fences. Generating sets are presented and it is shown that these clones are finitely generated. Various related questions are also discussed.
Mathematics Subject Classification ID: 08A40
Mathematics Subject Classification ID: 06A06
zbMATH DE Number: 4137840
zbMATH Keywords: generators
zbMATH Keywords: clones
zbMATH Keywords: order preserving operations
zbMATH Keywords: crowns
zbMATH Keywords: fences
author: J. Demetrovics
author: Lajos Rónyai
reviewed by: Adalbert Csaba Hatvany
MaRDI profile type: Publication
cites work: On algebraic properties of monotone clones
cites work: On the Construction of Partially Ordered Systems with a Given Group of Automorphisms
cites work: A structure theory for ordered sets
cites work: Q4380580
cites work: Q5802252
cites work: Bestimmung der Ordnung Maximaler Klassen von Funktionen der k‐Wertigen Logik
cites work: Holes in ordered sets
cites work: A fixed point theorem for finite partially orderes sets
cites work: A maximal clone of monotone operations which is not finitely generated
Recommended article: Q3469145
Recommended article: Q5466047
Recommended article: On the algebra of the Möbius crown
Recommended article: Algebraic properties of some configurational propositions
Recommended article: The number of order-preserving maps of fences and crowns
Recommended article: On the rank polynomial of the lattice of order ideals of fences and crowns
Recommended article: The number of order-preserving maps between fences and crowns
Recommended article: Q3356344
Recommended article: Algebraic hulls and the Følner property
Recommended article: Cycle decompositions of crowns
description: scientific article; zbMATH DE number 4137840