Groups, Semilattices and Inverse Semigroups. II

DOI10.2307/1997032zbMath0297.20072OpenAlexW4250486651WikidataQ56804582 ScholiaQ56804582MaRDI QIDQ4050802

Donald B. McAlister

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/1997032

Mathematics Subject Classification ID

General structure theory for semigroups (20M10)

Related Items (62)

Semigroups whose idempotents form a subsemigroup ⋮ \(F\)-regular semigroups. ⋮ Proper left type-A monoids revisited ⋮ Algebraic properties of Zappa-Szép products of semigroups and monoids ⋮ Covers for regular semigroups and an application to complexity ⋮ Operators and products in the lattice of existence varieties of regular semigroups ⋮ \(\lambda\)-semidirect products of inverse monoids are weakly Schreier extensions ⋮ The Structure of Pseudo-Inverse Semigroups ⋮ Normal-convex embeddings of inverse semigroups ⋮ Proper Ehresmann semigroups ⋮ Left adequate and left Ehresmann monoids. II. ⋮ Amenably ordered inverse semigroups ⋮ The lifting and classification problems for subspaces of covering spaces ⋮ The uniform word problem for groups and finite Rees quotients of \(E\)-unitary inverse semigroups ⋮ Proper two-sided restriction semigroups and partial actions. ⋮ Product decompositions of semigroups induced by action pairs ⋮ A graphical representation for the free product of E-unitary inverse semigroups ⋮ Covers for monoids. ⋮ \(E^*\)-dense \(E\)-semigroups. ⋮ Embedding of a restriction semigroup into a \(W\)-product. ⋮ Tight representations of \(0\)-\(E\)-unitary inverse semigroups. ⋮ Groups that together with any transformation generate regular semigroups or idempotent generated semigroups. ⋮ Inverse subsemigroups of free inverse semigroups ⋮ On inverse semigroups the closure of whose set of idempotents is a Clifford semigroup ⋮ On a semigroup theoretic generalization of the Kalužnin Krasner theorem and normal extensions of inverse semigroups ⋮ Ehresmann monoids. ⋮ E-unitary congruences on inverse semigroups ⋮ On a wreath product embedding and idempotent pure congruences on inverse semigroups ⋮ Restriction semigroups and \(\lambda\)-Zappa-Szép products ⋮ Left proper \(E\)-dense monoids ⋮ Inverse semigroup homomorphisms via partial group actions ⋮ \(^*\)-simple type \(A\) \(\omega\)-semigroups ⋮ The lattice of inverse subsemigroups of a reduced inverse semigroup ⋮ Enlargements of regular semigroups ⋮ Inverse semigroups determined by their lattices of inverse subsemigroups ⋮ Cohomology of inverse semigroups ⋮ An application of a theorem of Ash to finite covers. ⋮ A note on congruences on orthodox semigroups ⋮ Strongly E-reflexive inverse semigroups ⋮ Idempotent determined congruences on inverse semigroups ⋮ E-unitary inverse semigroups over semilattices ⋮ Embedding theorems for proper inverse semigroups ⋮ Inverse semigroups and extensions of groups by semilattices ⋮ The geometric theory of inverse semigroups. I: E-unitary inverse semigroups ⋮ Ehresmann monoids: adequacy and expansions ⋮ Extensions and covers for semigroups whose idempotents form a left regular band. ⋮ The work of Douglas Munn and its legacy ⋮ The admissible trace problem for E-unitary inverse semigroups ⋮ Extensions de demi-groupes inverses ⋮ Coextensions of inverse semigroups ⋮ Spirals of idempotents from P-semigroups ⋮ Congruences on inverse semigroups ⋮ Inverse semigroups whose full inverse subsemigroups form a chain ⋮ Projective inverse semigroups ⋮ Idempotent pure extensions by inverse semigroups via quivers ⋮ Reduced inverse semigroups ⋮ \(\aleph _0\)-categoricity of semigroups ⋮ GRAPH IMMERSIONS, INVERSE MONOIDS AND DECK TRANSFORMATIONS ⋮ Subdirect products of regular semigroups ⋮ E-unitary \({\mathcal R}\)-unipotent semigroups ⋮ *-bisimple type A \(\omega\)-semigroups. I ⋮ Extending partial isomorphisms and McAlister's covering theorem

Cites Work

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• A Class of Irreducible matrix representations of an Arbitrary Inverse Semigroup
• Groups, Semilattices and Inverse Semigroups
• 0-Bisimple Inverse Semigroups
• Bisimple ω-Semigroups
• Regular ω-semigroups
• Residuated Inverse Semigroups
• F-Inverse Semigroups
• FUNDAMENTAL INVERSE SEMIGROUPS
• Congruences on a Bisimple Inverse Semigroup in Terms Of RP-Systems
• Free Inverse Semigroups
• The Maximum Idempotent-Separating Congruence on an Inverse Semigroup
• Inverse Semi-Groups
• Congruences on regular semigroups

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