A Network of Congruences on an Inverse Semigroup

DOI10.2307/1999774zbMath0484.20026OpenAlexW4242548198MaRDI QIDQ3943134

Mario Petrich, Norman R. Reilly

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1999774

zbMATH Keywords

idempotentskernelstracesimplicationslattice of congruencesquasivariety of inverse semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Varieties and pseudovarieties of semigroups (20M07) Mappings of semigroups (20M15)

Related Items (14)

Solvability in inverse semigroups ⋮ Congruence lattices of regular semigroups related to kernels and traces ⋮ Inverse semigroups with apartness ⋮ Relationships among quasivarieties induced by the min networks on inverse semigroups ⋮ The semigroup generated by certain operators on the congruence lattice of a Clifford semigroup ⋮ \(E\omega\)-Clifford congruences and \(E\omega\)-\(E\)-reflexive congruences on an inverse semigroup. ⋮ Congruences on ample semigroups ⋮ A network of congruences on an ample semigroup ⋮ Classes of semigroups modulo Green's relation \(\mathcal H\). ⋮ Expansions of inverse semigroups ⋮ A tribute to Mario Petrich ⋮ Joins and meets of congruences on a regular semigroup ⋮ A new approach to a network of congruences on an inverse semigroup ⋮ The lattice of (2, 1)-congruences on a left restriction semigroup

Cites Work

• Unnamed Item
• Congruences on inverse semigroups
• The lattice of congruences on an inverse semigroup
• Kernels of inverse semigroup homomorphisms
• Reduced Inverse and Partially Ordered Semigroups
• E-unitary congruences on inverse semigroups
• Strongly E-reflexive inverse semigroups
• E-unitary inverse semigroups over semilattices
• Certain fundamental congruences on a regular semigroup
• The Maximum Idempotent-Separating Congruence on an Inverse Semigroup
• Congruences on regular semigroups

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