The smallest order variety containing all chains

DOI10.1016/0012-365X(81)90209-0zbMath0467.06002OpenAlexW1970880197MaRDI QIDQ1155636

Rudolf Wille, Ivan Rival

Publication date: 1981

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(81)90209-0

zbMATH Keywords

chainspartially ordered setsretractsorder varieties

Mathematics Subject Classification ID

Partial orders, general (06A06) Varieties of lattices (06B20)

Related Items

Classes closed under isomorphisms, retractions, and products, Holes in ordered sets, \(\kappa\)-embeddings of ordered sets, A structure theory for ordered sets, Retracts of strong products of graphs, Strong Retracts of Unary Algebras, Order varieties generated by \(\vee\)-semilattices of finite width, Obituary: Ivan Rival, Quotients of complete ordered sets, The strong selection property and ordered sets of finite length, Every countable lattice is a retract of a direct product of chains

Cites Work

• Spanning retracts of a partially ordered set
• Complete ordered sets with no infinite antichains