Construction of regular semigroups with inverse transversals

DOI10.1017/S0013091500006891zbMath0647.20063MaRDI QIDQ3791366

Tatsuhiko Saito

Publication date: 1989

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

inverse transversalsregular semigroup

Mathematics Subject Classification ID

General structure theory for semigroups (20M10)

Related Items (20)

On congruence lattices of regular semigroups with \(Q\)-inverse transversals ⋮ Invariant semigroups of orthodox semigroups ⋮ The \(\mathcal K^\circ\)-relation on the congruence lattice of a regular semigroup with an inverse transversal. ⋮ Congruences on regular semigroups with inverse transversals^* ⋮ Free orthodox semigroups and free bands with inverse transversals. ⋮ Identities for a Class of Regular Unary Semigroups ⋮ On \(\mathcal P\)-regular semigroups having regular *-transversals. ⋮ Adequate Transversals of Quasi-Adequate Semigroups ⋮ The generalization of two basic results for orthodox semigroups. ⋮ Regular semigroups with a split map ⋮ On generalized inverse transversals. ⋮ INVERSE TRANSVERSALS ARE MUTUALLY ISOMORPHIC ⋮ A CLASSIFICATION OF INVERSE TRANSVERSALS ⋮ On Generalized Orthodox Transversals ⋮ Regular semigroups with weakly simplistic orthodox transversals ⋮ Naturally ordered regular semigroups with an inverse monoid transversal. ⋮ Congruence lattices of regular semigroups with inverse transversals¹ ⋮ Inverse transversal congruence extensions ⋮ Representation of congruences on regular semigroups with inverse transversals ⋮ On Generalized Adequate Transversals

Cites Work

• Split orthodox semigroups
• REGULAR SEMIGROUPS WITH INVERSE TRANSVERSALS
• SEMIGROUPS WITH INVERSE TRANSVERSALS AS MATRIX SEMIGROUPS
• Regular semigroups with a multiplicative inverse transversal

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