The lattice of idempotent binary relations

DOI10.1007/BF02488041zbMath0423.06010OpenAlexW2319973719MaRDI QIDQ1134172

Zahava Shmuely

Publication date: 1979

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02488041

zbMATH Keywords

join-irreducible elementsmeet-irreducible elementsgroup of order-automorphismsidempotent binary relationsjoin-sublattice

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Semigroups of transformations, relations, partitions, etc. (20M20) Representations of groups as automorphism groups of algebraic systems (20F29) Ordered semigroups and monoids (06F05) Other classical set theory (including functions, relations, and set algebra) (03E20) Infinite automorphism groups (20B27)

Related Items

Idempotents in complete posemigroups, Idempotent matrix lattices over distributive lattices, On the semilattice of weak orders of a set, Groupoids, idempotents and pointwise inverses in relational categories

Cites Work

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• Idempotents in complete posemigroups
• Combinatorial properties of binary semigroups
• A construction for idempotent binary relations
• On idempotent binary relations on a finite set