Rees Matrix Covers for Locally Inverse Semigroups

DOI10.2307/1999233zbMath0516.20039OpenAlexW4239350695MaRDI QIDQ3663529

Donald B. McAlister

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999233

zbMATH Keywords

idempotentlocally inverse semigroupslocal submonoidslocal isomorphismregular Rees matrix semigrouplocally testable semigroups4-spiral semigroup

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Mappings of semigroups (20M15)

Related Items

On regular semigroups. II: An embedding ⋮ An order theoretic characterization of locally orthodox regular semigroups ⋮ On existence varieties of locally inverse semigroups ⋮ Morita equivalence of semigroups with local units. ⋮ On special Rees matrix semigroups over semigroups ⋮ Cross-connections and variants of the full transformation semigroup ⋮ Unnamed Item ⋮ Rees matrix covers for a class of locallyU-commutative semigroups ⋮ Morita equivalence of inverse semigroups. ⋮ The structure of generalized inverse semigroups. ⋮ Conditions for strong Morita equivalence of partially ordered semigroups ⋮ Rees matrix semigroups and the regular semidirect product ⋮ Semidirect products of regular semigroups ⋮ Quasi-ideal embeddings and Rees matrix covers for regular semigroups ⋮ The loop problem for Rees matrix semigroups. ⋮ Enlargements of regular semigroups ⋮ Structure theory of regular semigroups ⋮ Subdirect products of regular semigroups ⋮ Rees matrix covers for regular semigroups ⋮ Rees matrix covers and semidirect products of regular semigroups ⋮ The Mathematical Work of K. S. S. Nambooripad ⋮ Cross-connection structure of locally inverse semigroups

Cites Work

• Regular four-spiral semigroups, idempotent-generated semigroups and the Rees construction
• The fundamental four-spiral semigroup
• Structure of regular semigroups. I
• The natural partial order on a regular semigroup
• Regular locally testable semigroups as semigroups of quasi-ideals
• Groups, Semilattices and Inverse Semigroups
• The Structure of Pseudo-Inverse Semigroups
• On regular semigroups whose idempotents form a subsemigroup
• Unnamed Item
• Unnamed Item
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