Regular semigroups with inverse transversals

DOI10.1007/PL00005909zbMath0897.20040OpenAlexW2033318135MaRDI QIDQ1362884

Xilin Tang

Publication date: 20 October 1998

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00005909

zbMATH Keywords

idempotentsregular semigroupsinverse transversalsinverse subsemigroups

Mathematics Subject Classification ID

Regular semigroups (20M17)

Related Items (31)

ORTHODOX TRANSVERSALS OF REGULAR SEMIGROUPS ⋮ On regular semigroups with orthodox transversals ⋮ On \(V^n\)-semigroups. ⋮ The \(\mathcal K^\circ\)-relation on the congruence lattice of a regular semigroup with an inverse transversal. ⋮ A Munn type representation of abundant semigroups with a multiplicative ample transversal ⋮ On refined generalised quasi-adequate transversals ⋮ Congruences on regular semigroups with inverse transversals^* ⋮ Words on free bands with inverse transversals. ⋮ Free orthodox semigroups and free bands with inverse transversals. ⋮ Identities for a Class of Regular Unary Semigroups ⋮ A construction of regular semigroups with quasiideal regular \(\ast\)-transversals ⋮ Congruences on regular semigroups with \(Q\)-inverse transversals ⋮ Relationship between the quasi-ideal adequate transversals of an abundant semigroup. ⋮ On generalized inverse transversals. ⋮ INVERSE TRANSVERSALS ARE MUTUALLY ISOMORPHIC ⋮ A CLASSIFICATION OF INVERSE TRANSVERSALS ⋮ Regular semigroups with weakly simplistic orthodox transversals ⋮ Congruence lattices of regular semigroups with inverse transversals¹ ⋮ Good congruences on abundant semigroups with multiplicative quasi-adequate transversals. ⋮ On the Multiplicative Quasi-Adequate Transversals of an Abundant Semigroup ⋮ On weakly \(P\)-Ehresmann semigroups ⋮ Representation of congruences on regular semigroups with inverse transversals ⋮ Abundant semigroups with a multiplicative quasi-adequate transversal. ⋮ Quasi-ideal Ehresmann transversals: the spined product structure ⋮ A NEW CONSTRUCTION FOR REGULAR SEMIGROUPS WITH QUASI-IDEAL ORTHODOX TRANSVERSALS ⋮ The product of quasi-ideal adequate transversals of an abundant semigroup. ⋮ Abundant semigroups with a quasi-ideal quasi-adequate transversal. ⋮ E-special Ordered Regular Semigroups ⋮ The product of quasi-ideal refined generalised quasi-adequate transversals ⋮ Fundamental regular semigroups with quasi-ideal regular \(*\)-transversals. ⋮ Split quasi-adequate semigroups.

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