On a wreath product embedding and idempotent pure congruences on inverse semigroups

DOI10.1007/BF03025748zbMath0769.20027MaRDI QIDQ1188319

Bernd Billhardt

Publication date: 13 August 1992

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

Full work available at URL: https://eudml.org/doc/135170

zbMATH Keywords

inverse semigroupsnatural partial orderstrong semilattices\(\lambda\)-semidirect products\(\lambda\)-wreath products\(E\)-reflexive inverse semigroupsidempotent pure congruencesMcAlister \(P\)-theorem

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Mappings of semigroups (20M15) Inverse semigroups (20M18)

Related Items (17)

A survey of Schreier-type extensions of monoids ⋮ \(\lambda\)-semidirect products of inverse monoids are weakly Schreier extensions ⋮ Product decompositions of semigroups induced by action pairs ⋮ On a semigroup theoretic generalization of the Kalužnin Krasner theorem and normal extensions of inverse semigroups ⋮ Restriction semigroups and \(\lambda\)-Zappa-Szép products ⋮ Quotients of monoid extensions and their interplay with Baer sums ⋮ On a wreath product embedding for regular semigroups ⋮ Semigroups with zero whose idempotents form a subsemigroup ⋮ Bifree locally inverse semigroups as expansions. ⋮ Baer sums for a natural class of monoid extensions ⋮ Extensions and covers for semigroups whose idempotents form a left regular band. ⋮ Zappa-Szép products of bands and groups. ⋮ Extensions of left regular bands by \(\mathcal{R}\)-unipotent semigroups ⋮ Expansions of inverse semigroups ⋮ Anisimov's Theorem for inverse semigroups ⋮ Idempotent pure extensions by inverse semigroups via quivers ⋮ Extensions of semilattices by left type-A semigroups

Cites Work

• Unnamed Item
• On inverse semigroups the closure of whose set of idempotents is a Clifford semigroup
• A new proof for the McAlister 'P-theorem'
• Groups, Semilattices and Inverse Semigroups. II
• Inverse semigroups as extensions of semilattices
• Embedding inverse semigroups in wreath products

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