Abundant Semigroups with Q-adequate Transversals and Some of Their Special Cases
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Publication:5386788
DOI10.1142/S1005386707000636zbMath1180.20050MaRDI QIDQ5386788
Publication date: 14 May 2008
Published in: Algebra Colloquium (Search for Journal in Brave)
idempotentsGreen relationsskeletonsabundant semigroupsadequate transversalsquasi-ideal transversals*-ideals
General structure theory for semigroups (20M10) Ideal theory for semigroups (20M12) Regular semigroups (20M17)
Related Items (11)
On \(V^n\)-semigroups. ⋮ The characterization and the product of quasi-Ehresmann transversals ⋮ On refined generalised quasi-adequate transversals ⋮ Free orthodox semigroups and free bands with inverse transversals. ⋮ Good congruences on abundant semigroups with \(PSQ\)-adequate transversals. ⋮ \(*\)-congruences on abundant semigroups with \(SQ\)-adequate transversals. ⋮ On naturally ordered abundant semigroups with an adequate monoid transversal ⋮ Quasi-ideal Ehresmann transversals: the spined product structure ⋮ Abundant semigroups with a quasi-ideal quasi-adequate transversal. ⋮ The product of quasi-ideal refined generalised quasi-adequate transversals ⋮ Split quasi-adequate semigroups.
Cites Work
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- Adequate Semigroups
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- The natural partial order on an abundant semigroup
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- On weakly multiplicative inverse transversals
- IDEMPOTENT-CONNECTED ABUNDANT SEMIGROUPS WHICH ARE DISJOINT UNIONS OF QUASI-IDEAL ADEQUATE TRANSVERSALS
- Regular semigroups with a multiplicative inverse transversal
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