The lattice of full regular subsemigroups of a regular semigroup

DOI10.1017/S0308210500013408zbMath0556.20046MaRDI QIDQ3220760

Peter R. Jones, Katherine G. Johnston

Publication date: 1984

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

subdirect productsemimodularfull inverse subsemigroupscomplete sublattice of subsemigroupsfull regular subsemigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Representation theory of lattices (06B15)

Related Items (8)

Decomposition of regular subsemigroup lattices ⋮ Lattice isomorphisms of orthodox semigroups ⋮ A method for the construction of complete congruences on lattices of pseudovarieties ⋮ ON THE LATTICE OF FULL EVENTUALLY REGULAR SUBSEMIGROUPS ⋮ The lattice of regular subsemigroups of a regular semigroup. ⋮ Eventually regular semigroups with 0-semidistributive full subsemigroup lattices. ⋮ Existence varieties with lattices of regular subsemigroups ⋮ Semimodularity and weak modularity in subalgebra lattices of completely simple semigroups

Cites Work

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• Semigroups and their subsemigroup lattices
• Subalgebra lattices of completely simple semigroups
• Idempotent-generated completely O-simple semigroups
• On regular semigroups
• The natural partial order on a regular semigroup
• Semimodular Inverse Semigroups
• Distributive Inverse Semigroups
• Idempotents in completely 0-simple semigroups
• On inverses of products of idempotents in regular semigroups
• Idempotent-generated regular semigroups

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