Restriction Semigroups and Inductive Constellations

DOI10.1080/00927870902887096zbMath1251.20062OpenAlexW1974285328MaRDI QIDQ3406596

Christopher D. Hollings, Victoria Gould

Publication date: 19 February 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870902887096

zbMATH Keywords

restriction semigroupsinductive constellationscategories of inductive groupoidsordered radiants

Mathematics Subject Classification ID

Inverse semigroups (20M18) Connections of semigroups with homological algebra and category theory (20M50) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (29)

Unnamed Item ⋮ Constellations and their relationship with categories ⋮ Unnamed Item ⋮ D-semigroups and constellations ⋮ Constellations with range and IS-categories ⋮ Domain and Range Operations in Semigroups and Rings ⋮ An Ehresmann-Schein-Nambooripad type theorem for DRC-semigroups ⋮ Difference-restriction algebras of partial functions: axiomatisations and representations ⋮ Left restriction monoids from left \(E\)-completions ⋮ A perspective on non-commutative frame theory ⋮ Varieties of regular semigroups with uniquely defined inversion ⋮ Semigroup actions on posets and preimage quasi-orders ⋮ On d-semigroups, r-semigroups, dr-semigroups and their subclasses ⋮ Ehresmann-Schein-Nambooripad theorems for classes of biunary semigroups ⋮ A groupoid approach to regular \(\ast \)-semigroups ⋮ Actions and partial actions of inductive constellations. ⋮ On lattices of varieties of restriction semigroups. ⋮ Axioms for function semigroups with agreement quasi-order. ⋮ How to generalise demonic composition ⋮ Restriction \(\omega \)-semigroups ⋮ Generalising the étale groupoid-complete pseudogroup correspondence ⋮ Monoids with tests and the algebra of possibly non-halting programs ⋮ The Ehresmann-Schein-Nambooripad Theorem for Inverse Categories ⋮ VARIETIES OF LEFT RESTRICTION SEMIGROUPS ⋮ Cross-connection structure of concordant semigroups ⋮ A tale of two categories: inductive groupoids and cross-connections ⋮ MODAL RESTRICTION SEMIGROUPS: TOWARDS AN ALGEBRA OF FUNCTIONS ⋮ THE SEMIGROUPS B₂ AND B₀ ARE INHERENTLY NONFINITELY BASED, AS RESTRICTION SEMIGROUPS ⋮ The Mathematical Work of K. S. S. Nambooripad

Cites Work

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