IDEMPOTENT-CONNECTED ABUNDANT SEMIGROUPS WHICH ARE DISJOINT UNIONS OF QUASI-IDEAL ADEQUATE TRANSVERSALS

DOI10.1081/AGB-120013215zbMath1002.20035OpenAlexW2112229204MaRDI QIDQ4532453

Liming Wang, Xiao Jiang Guo

Publication date: 1 January 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120013215

zbMATH Keywords

idempotentsrectangular bandslocally inverse semigroupsRees matrix semigroupsabundant semigroupsadequate transversalsquasi-idealsadequate semigroupstranslational hullssandwich matricesDUQT-semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10)

Related Items (7)

Abundant Semigroups with Q-adequate Transversals and Some of Their Special Cases ⋮ \(*\)-congruences on abundant semigroups with \(SQ\)-adequate transversals. ⋮ MATRIX REPRESENTATION OF RECTANGULAR BANDS OF SEMIGROUPS ⋮ On naturally ordered abundant semigroups with an adequate monoid transversal ⋮ On Adequate Transversals ⋮ Congruences on split quasi-adequate semigroups. ⋮ Split quasi-adequate semigroups.

Cites Work

• Abundant semigroups with a multiplicative type \(A\) transversal
• On the construction of a class of abundant semigroups
• Some properties of local subsemigroups inherited by larger subsemigroups
• Abundant semigroups whose idempotents satisfy permutation identities
• Adequate Semigroups
• The natural partial order on an abundant semigroup
• Abundant Semigroups
• Quasi-adequate semigroups
• Idempotent-connected abundant semigroups
• Regular semigroups with a multiplicative inverse transversal

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