Rees matrix covers for regular semigroups

DOI10.1016/0021-8693(84)90217-5zbMath0543.20041OpenAlexW2081181165MaRDI QIDQ795929

Donald B. McAlister

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90217-5

zbMATH Keywords

inverse semigrouplocal submonoidslocal isomorphismcovering theoremssemilattice of groupslocally E-solid semigroupslocally isomorphic imagelocally L-unipotent semigroupslocally orthodox semigroupsmultiplicative semigroup of a ringregular Rees matrix semigroup

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroup rings, multiplicative semigroups of rings (20M25) Mappings of semigroups (20M15)

Related Items

Morita Equivalence of Semigroups with Locally Commuting Idempotents, Covers for regular semigroups and an application to complexity, Morita equivalence of semigroups with local units., Conditions for strong Morita equivalence of partially ordered semigroups, Semidirect products of regular semigroups, Quasi-ideal embeddings and Rees matrix covers for regular semigroups, Enlargements of regular semigroups, A tribute to John B. Fountain, REES MATRIX COVERS FOR TIGHT ABUNDANT SEMIGROUPS, Obituary: David Rees 1918--2013, Classes of semigroups modulo Green's relation \(\mathcal H\)., Structure theory of regular semigroups, Rees matrix covers and semidirect products of regular semigroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some properties of local subsemigroups inherited by larger subsemigroups
• Demi-groupes réguliers
• Rees Matrix Covers for Locally Inverse Semigroups
• The natural partial order on a regular semigroup
• On the compatibility of the natural order on a regular semigroup
• On regular semigroups whose idempotents form a subsemigroup
• Orthodox semigroups