scientific article; zbMATH DE number 1761434
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zbMath1079.20505MaRDI QIDQ4537454
Publication date: 30 June 2002
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Inverse semigroups (20M18) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Research exposition (monographs, survey articles) pertaining to group theory (20-02)
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I: \(\mathrm{C}^\ast\)-algebras and groupoids, An extension to ``A subsemigroup of the rook monoid, On the Polishness of the inverse semigroup \(\Gamma (X)\) on a compact metric space \(x\), The Yang–Baxter equation and Thompson’s group F, On the simplicity of Nekrashevych algebras of contracting self-similar groups, Coherency, free inverse monoids and related free algebras, On the minimal faithful degree of Rhodes semisimple semigroups, Higher dimensional generalizations of the Thompson groups via higher rank graphs, Étale categories, restriction semigroups, and their operator algebras, A groupoid approach to regular \(\ast \)-semigroups, On a semigroup generated by the extended bicyclic semigroup and the \(\omega \)-closed family, Product decompositions of semigroups induced by action pairs, Non-commutative Stone duality, The tight groupoid of the inverse semigroups of left cancellative small categories, Broken Möbius categories of \(Q_3\)-type and their split inverse semigroups, The algebra of rewriting for presentations of inverse monoids, Eraser morphisms and membership problem in groups and monoids, The structure of centralizers in the finite symmetric inverse semigroup, Unnamed Item, GCR and CCR Steinberg Algebras, Rees matrix semigroups and the regular semidirect product, Imaginary groups: lazy monoids and reversible computation, On loopoids and magma with inverse, Duality for Groupoid (Co)Actions, Some relational structures with polynomial growth and their associated algebras II: Finite generation, Classical Structures Based on Unitaries, Inverse Semigroup C*-Algebras Associated with Left Cancellative Semigroups, Fast Fourier transforms for the rook monoid, Inverse automata and profinite topologies on a free group, The work of Douglas Munn and its legacy, Decision problems for inverse monoids presented by a single sparse relator., On \(F\)-inverse covers of finite-above inverse monoids., Groupoids on a skew lattice of objects, Cross-connection structure of concordant semigroups, On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers, Some completely semisimple HNN-extensions of inverse semigroups, Expansions of inverse semigroups, Low Growth Equational Complexity, Unnamed Item, JOINS AND COVERS IN INVERSE SEMIGROUPS AND TIGHT -ALGEBRAS, Two-sided expansions of monoids, Fourier Inversion for Finite Inverse Semigroups, On partial skew groupoid rings, On the Galois map for groupoid actions, A note on Möbius functions and a breaking process, REPRESENTING STRUCTURED SEMIGROUPS ON ÉTALE GROUPOID BUNDLES, On orthodox P-restriction semigroups, Groupoid actions on sets, duality and a morita context, Cross-connection structure of locally inverse semigroups, Fibrations of ordered groupoids and the factorization of ordered functors, Presentations for rook partition monoids and algebras and their singular ideals, A half-factorial locally right Garside monoid and the inverse monoid of cofinite monotone partial bijections on \(\mathbb N^\ast\), Mal'tsev products of varieties. I, Invariant means on Boolean inverse monoids, Strongly productive ultrafilters on semigroups, The tight groupoid of an inverse semigroup, Fair amenability for semigroups, General non-commutative locally compact locally Hausdorff Stone duality, Diagonal-preserving isomorphisms of étale groupoid algebras, Markov-Dyck shifts, neutral periodic points and topological conjugacy, Undecidability of the word problem for Yamamura's HNN-extension under nice conditions., The structure of a graph inverse semigroup, AF inverse monoids and the structure of countable MV-algebras, On the graph condition regarding the \(F\)-inverse cover problem, Ranks of ideals in inverse semigroups of difunctional binary relations, Inverse semigroups associated with one-dimensional generalized solenoids, The Galois correspondence theorem for groupoid actions, Inverse semigroup shifts over countable alphabets, Corrigendum to: ``Partial cohomology of groups, Étale groupoids and their quantales, Varieties of Boolean inverse semigroups, The word problem for some classes of Adian inverse semigroups, Simplicity, primitivity and semiprimitivity of étale groupoid algebras with applications to inverse semigroup algebras, On inverse semigroup \(C^*\)-algebras and crossed products, On groups generated by involutions of a semigroup., Almost perfect restriction semigroups, Graph inverse semigroups: their characterization and completion., Amenability and uniqueness for groupoids associated with inverse semigroups, Tarski monoids: Matui's spatial realization theorem, Strongly \(F^*\)-inverse covers for tiling semigroups., On the growth of generating sets for direct powers of semigroups., \(E\)-unitary almost factorizable orthodox semigroups., The many groupoids of a stably Gelfand quantale, 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, Quantales of open groupoids, Actions and partial actions of inductive constellations., Ordered groupoids and the holomorph of an inverse semigroup, A syntactic congruence for languages of birooted trees, Algebras of Ehresmann semigroups and categories, On algebras of \(P\)-Ehresmann semigroups and their associate partial semigroups, Restricted algebras on inverse semigroups. II: Positive definite functions, Infinite dual symmetric inverse monoids, A Dirichlet analogue of the free monogenic inverse semigroup via Möbius inversion., Representations of inverse semigroups and pre-grading \(C^\ast\)-algebra, The tiling \(C^*\)-algebra viewed as a tight inverse semigroup algebra, Generation of infinite factorizable inverse monoids., Domain theory and mirror properties in inverse semigroups, Amenability of the restricted Fourier algebras, Axioms for function semigroups with agreement quasi-order., Homological finiteness properties of monoids, their ideals and maximal subgroups., Generalized heaps, inverse semigroups and Morita equivalence., The structure of generalized inverse semigroups., Compatible total orders on \(\omega\)-regular semigroups., Amenability and contractibility modulo an ideal of Banach algebras, A correspondence between a class of monoids and self-similar group actions. I., Amenability of semigroups and their algebras modulo a group congruence, Inverse semigroups with idempotent-fixing automorphisms., Coordinatizing some concrete MV algebras and a decomposition theorem, Inverse monoids associated with the complexity class NP, Restriction \(\omega \)-semigroups, Partial actions of weak Hopf algebras: smash product, globalization and Morita theory., Ehresmann monoids., Coherence and strictification for self-similarity, \(C^\ast\)-algebras associated to Boolean dynamical systems, Embedding in factorisable restriction monoids, Join inverse categories and reversible recursion, Restriction semigroups and \(\lambda\)-Zappa-Szép products, Supersymmetric many-body systems from partial symmetries -- integrability, localization and scrambling, Full symmetry implementation in condensed matter and molecular physics-modified group projector technique, Locally anisotropic toposes, Decidability of the word problem in Yamamura's HNN extensions of finite inverse semigroups., Crossed products by twisted partial actions and graded algebras., The universal covering of an inverse semigroup., A class of inverse monoids acting on ordered forests., A new construction for free inverse semigroups., Factorizable inverse monoids., Extending the Ehresmann-Schein-Nambooripad theorem., Fast Fourier transforms for finite inverse semigroups, Centralizers of full injective transformations in the symmetric inverse semigroup, Inverse subsemigroups of finite index in finitely generated inverse semigroups, Ordered groupoid quotients and congruences on inverse semigroups, A unifying approach to the Margolis-Meakin And Birget-Rhodes group expansion, Universal locally finite maximally homogeneous semigroups and inverse semigroups, Self-similar graphs, a unified treatment of Katsura and Nekrashevych \(C^\ast\)-algebras, Associate inverse subsemigroups of regular semigroups., Tight representations of semilattices and inverse semigroups., Zappa-Szép products of bands and groups., Möbius monoids and their connection to inverse monoids., A symmetrical presentation for the singular part of the symmetric inverse monoid., Semitransitive subsemigroups of the symmetric inverse semigroups., The Hopf algebra of uniform block permutations., Monoids that map onto the Thompson-Higman groups, Clifford semigroups as functors and their cohomology., The early development of the algebraic theory of semigroups, Actions of inverse semigroups arising from partial actions of groups, The generalized Szendrei expansion of an \(\mathcal R\)-unipotent semigroup., Primitive partial permutation representations of the polycyclic monoids and branching function systems., Representations of inverse semigroups in complete atomistic inverse meet-semigroups, On the inverse semigroup of bimodules over a \(C^\ast\)-algebra, Filtering germs: groupoids associated to inverse semigroups, A topological correspondence between partial actions of groups and inverse semigroup actions, A structural property of Adian inverse semigroups, The principal bundles over an inverse semigroup, Projection-primitive \(P\)-Ehresmann semigroups, Constellations with range and IS-categories, Universal groups for point-sets and tilings., Factoring the Dedekind-Frobenius determinant of a semigroup, Set-theoretic solutions of the Yang-Baxter equation associated to weak braces, Pseudogroups and their torsors, An Ehresmann-Schein-Nambooripad type theorem for DRC-semigroups, Group representation for even and odd involutive commutative residuated chains, A subsemigroup of the rook monoid, Amenability and paradoxicality in semigroups and \(C^\ast\)-algebras, Varieties of regular semigroups with uniquely defined inversion, Higher dimensional generalizations of the Thompson groups, \(E^{\vee}\)-unitary covers for \(\vee\)-semilatticed inverse semigroups, The third partial cohomology group and existence of extensions of semilattices of groups by groups, Some algebraic structures on the 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of \(\mathbb{N}^n\), On locally compact shift-continuous topologies on the \(\alpha\)-bicyclic monoid, Automatic continuity of homomorphisms between topological inverse semigroups, Partial cohomology of groups and extensions of semilattices of abelian groups, Sandwich semigroups in locally small categories. II: Transformations, Metrics on doubles as an inverse semigroup. II, Free operated monoids and rewriting systems, Cross-connections of linear transformation semigroups, Conjugacy in inverse semigroups, Recent developments around partial actions, A tribute to John B. Fountain, Bifree locally inverse semigroups as expansions., Completions of generalized restriction \(P\)-restriction semigroups, Partial cohomology of groups., Enumeration of finite inverse semigroups, A local structure theorem for stable, \(\mathcal{J}\)-simple semigroup biacts, A finiteness criterion for inverse semigroups, Algebra associated with a map inducing an inverse semigroup, Reduced \(C^*\)-algebras of Fell bundles over inverse semigroups, Amalgams of finite inverse semigroups., Partial symmetry, reflection monoids and Coxeter groups., Schützenberger automata for HNN-extensions of inverse monoids and their use in algorithmic questions, Locally Hausdorff tight groupoids generalised, Partial actions and proper extensions of two-sided restriction semigroups, Semiring identities of the Brandt monoid, On weakly \(P\)-Ehresmann semigroups, Inverse monoids of partial graph automorphisms, Ehresmann semigroups whose categories are EI and their representation theory, The universal Boolean inverse semigroup presented by the abstract Cuntz-Krieger relations, Embedding of graph inverse semigroups into CLP-compact topological semigroups, Recent developments in inverse semigroup theory, Structure theory of regular semigroups, The Booleanization of an inverse semigroup, Metrics on doubles as an inverse semigroup, Morita equivalence of pseudogroups, Extensions of left regular bands by \(\mathcal{R}\)-unipotent semigroups, A new characterization of a proper type B semigroup, Partial groupoid actions on sets and topological spaces, Hausdorff tight groupoids generalised, Inverse semigroup cohomology and crossed module extensions of semilattices of groups by inverse semigroups, A tribute to Mario Petrich, An algebraic characterisation of ample type I groupoids, An alternative look at the structure of graph inverse semigroups, A tale of two categories: inductive groupoids and cross-connections, Algorithmic properties of inverse monoids with hyperbolic and tree-like Schützenberger graphs, Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra, On certain inverse semigroups associated with one-sided topological Markov shifts, On locally compact topological graph inverse semigroups, The dynamics of partial inverse semigroup actions, On finite presentations of inverse semigroups with zero having polynomial growth, Flows on classes of regular semigroups and Cauchy categories, Some fundamental properties of tiling semigroups, Involution Abel-Grassmann's groups and filter theory of Abel-Grassmann's groups, Equivariant perturbation in Gomory and Johnson's infinite group problem. VII: Inverse semigroup theory, closures, decomposition of perturbations, Solution of the membership problem of the prefix monoid in certain one-relator groups., Null extensions of the bicyclic semigroup \(\mathcal B\) are inflations of \(\mathcal B\)., Partial monoid actions and a class of restriction semigroups., Functoriality of groupoid quantales. I., Ternary rings of operators arising from inverse semigroups, The classifying space of an inverse semigroup., On topological McAlister semigroups, On labeled birooted tree languages: algebras, automata and logic, Maximal subgroups of amalgams of finite inverse semigroups., The lattice of (2, 1)-congruences on a left restriction semigroup, The commuting graph of the symmetric inverse semigroup, Unnamed Item, Unnamed Item, Groupoid Action and Rearrangement Problem of Bicolor Arrays by Prefix Reversals, Regular representation of groupoid C* -algebras and applications to inverse semigroups, A correspondence between inverse subsemigroups, open wide subgroupoids and cartan intermediate C*-subalgebras, Braids and partial permutations., Decidability Versus Undecidability of the Word Problem in Amalgams of Inverse Semigroups, Subgroups of the group of homeomorphisms of the Cantor space and a duality between a class of inverse monoids and a class of Hausdorff étale groupoids, Morita Equivalence of Semigroups with Locally Commuting Idempotents, The semigroup generated by the idempotents of a partition monoid., Boolean sets, skew Boolean algebras and a non-commutative Stone duality, Obituary: Tribute to K.S.S. Nambooripad, Inverse semigroups all of whose proper homomorphic images are groups, A perspective on non-commutative frame theory, The uniform Roe algebra of an inverse semigroup, Coverages on inverse semigroups, Complete classification of finite semigroups for which the inverse monoid of local automorphisms is a \(\varDelta\)-semigroup, \(\lambda\)-semidirect products of inverse monoids are weakly Schreier extensions, A Munn tree type representation for the elements of the bifree locally inverse semigroup, On the Dowling and Rhodes lattices and wreath products, Reconstruction of graded groupoids from graded Steinberg algebras, Toposes for semigroups: an invitation, Trace- and pseudo-products: restriction-like semigroups with a band of projections, On continuity of homomorphisms between topological Clifford semigroups, On locally compact semitopological graph inverse semigroups, Inverse semigroups with apartness, An inverse semigroup from uniform structures on doubles, An Ehresmann-Schein-Nambooripad-type theorem for a class of \(P\)-restriction semigroups, On the rational subsets of the monogenic free inverse monoid, On a locally compact monoid of cofinite partial isometries of \(\mathbb{N}\) with adjoined zero, Twisted partial actions and extensions of semilattices of groups by groups, Étale inverse semigroupoids: elementary properties, universal constructions and duality, On d-semigroups, r-semigroups, dr-semigroups and their subclasses, Strong representations of the polycyclic inverse monoids: cycles and atoms., Unnamed Item, On a complete topological inverse polycyclic monoid, Abstract strategies and coherence, UNDECIDABILITY AND THE DEVELOPABILITY OF PERMUTOIDS AND RIGID PSEUDOGROUPS, Graded semigroups, Pseudogroups and their étale groupoids., Von Neumann Algebras and Extensions of Inverse Semigroups, On finite-dimensional representations of compact inverse semigroups, A class of unary semigroups admitting a Rees matrix representation., GROWTHS OF ENDOMORPHISMS OF FINITELY GENERATED SEMIGROUPS, Continuous orbit equivalences on self-similar groups, Morita equivalence of inverse semigroups., On subshift presentations, An algebraic generalization of Kripke structures, AMALGAMABLE DIAGRAM SHAPES, Étale Groupoids and Steinberg Algebras a Concise Introduction, EMBEDDINGS IN COSET MONOIDS, A note on amalgams of inverse semigroups, Locally full HNN extensions of inverse semigroups, Unnamed Item, CHAIN CONDITIONS ON ÉTALE GROUPOID ALGEBRAS WITH APPLICATIONS TO LEAVITT PATH ALGEBRAS AND INVERSE SEMIGROUP ALGEBRAS, Möbius functions and semigroup representation theory. II: Character formulas and multiplicities., Inverse semigroup homomorphisms via partial group actions, PARTIAL ACTIONS OF ORDERED GROUPOIDS ON RINGS, On the Functor ℓ2, Reconstructing a totally disconnected groupoid from its ample semigroup, Globalization of twisted partial actions, Étale groupoids as germ groupoids and their base extensions, Unnamed Item, Möbius functions and semigroup representation theory., The Ehresmann-Schein-Nambooripad Theorem for Inverse Categories, The globals of pseudovarieties of ordered semigroups containingB2and an application to a problem proposed by Pin, Boolean restriction categories and taut monads, Morita equivalence of partial group actions and globalization, Priestley spaces, quasi-hyperalgebraic lattices and Smyth powerdomains, Word problems recognisable by deterministic blind monoid automata, ON PSEUDO-EHRESMANN SEMIGROUPS, The geometry of profinite graphs with applications to free groups and finite monoids, Globalization of partial actions of groupoids on nonunital rings, On the Semigroup of Partial Isometries of a Finite Chain, Degree 2 transformation semigroups as continuous maps on graphs: Foundations and structure, Structure of principal one-sided ideals, Inverse monoids and immersions of Δ-complexes, Congruences on the Monoid of Monotone Injective Partial Self-Maps of L n × lexℤ with Cofinite Domains and Images, Properties of the subsemigroups of the bicyclic monoid, Area law violations and quantum phase transitions in modified Motzkin walk spin chains, Join Inverse Categories as Models of Reversible Recursion, On finitely aligned left cancellative small categories, Zappa-Sz\'ep products and Exel-Pardo algebras, ON GENERATORS AND PRESENTATIONS OF SEMIDIRECT PRODUCTS IN INVERSE SEMIGROUPS, New results on the prefix membership problem for one-relator groups, A CHARACTERISATION FOR A GROUPOID GALOIS EXTENSION USING PARTIAL ISOMORPHISMS, A presentation for the monoid of uniform block permutations, GRAPH PRODUCTS OF RIGHT CANCELLATIVE MONOIDS, On regularity preservation in a semigroup, ON FREE SPECTRA OF A CLASS OF FINITE INVERSE MONOIDS, Restricted algebras on inverse semigroups I, representation theory, GRAPH IMMERSIONS, INVERSE MONOIDS AND DECK TRANSFORMATIONS, Description of unitary representations of the group of infinite 𝑝-adic integer matrices, On \(F\)-inverse covers of inverse monoids., A structural approach to reversible computation, Quotients of the Booleanization of an Inverse Semigroup, The Mathematical Work of K. S. S. Nambooripad, The Polycyclic Inverse Monoids and the Thompson Groups Revisited, A construction of subshifts and a class of semigroups, Étale groupoid algebras with coefficients in a sheaf and skew inverse semigroup rings, Cocompletion of restriction categories
