On congruence lattices of regular semigroups with \(Q\)-inverse transversals

DOI10.1007/BF02573513zbMath0828.20053OpenAlexW2909362969MaRDI QIDQ1346299

Li-min Wang

Publication date: 18 December 1995

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135375

zbMATH Keywords

congruence latticesregular semigroupsinverse semigroupsnormal bandslattice homomorphismscomplete congruences\(Q\)-inverse transversalsnetworks of congruencessubdirect product decompositions

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Regular semigroups (20M17) Representation theory of lattices (06B15) Subalgebras, congruence relations (08A30)

Related Items (9)

On \(V^n\)-semigroups. ⋮ The \(\mathcal K^\circ\)-relation on the congruence lattice of a regular semigroup with an inverse transversal. ⋮ Congruences on regular semigroups with inverse transversals^* ⋮ Congruences on regular semigroups with \(Q\)-inverse transversals ⋮ \(*\)-congruences on abundant semigroups with \(SQ\)-adequate transversals. ⋮ Congruence Networks on Regular Semigroups Associated with 𝒱-Relation ⋮ Congruence lattices of regular semigroups with inverse transversals¹ ⋮ Representation of congruences on regular semigroups with inverse transversals ⋮ Congruences on split quasi-adequate semigroups.

Cites Work

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• Structure of regular semigroups with a quasi-ideal inverse transversal.
• Relationship between the inverse transversals of a regular semigroup
• Congruences on semigroups which are perfect rectangular bands of inverse semigroups
• Congruences on strong semilattices of regular simple semigroups
• The congruence lattice of a regular semigroup
• REGULAR SEMIGROUPS WITH INVERSE TRANSVERSALS
• SEMIGROUPS WITH INVERSE TRANSVERSALS AS MATRIX SEMIGROUPS
• Congruences on Regular Semigroups
• Construction of regular semigroups with inverse transversals
• Regular semigroups with a multiplicative inverse transversal

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