1 citations · 2 across the 8 of their papers we have counts for
9 papers
Steinberg Algebras of Ample Semicategories and their Boolean-Cartan Restriction Semigroups
Tristan Bice, Malcolm Jones, Ganna Kudryavtseva
We extend the construction of Steinberg algebras of ample groupoids to étale semicategories. We also relate ample semicategories to Boolean restriction semigroups via a representat…
The free -restriction semigroups
Ganna Kudryavtseva, Ajda Lemut Furlani
We provide a geometric model for the free -generated -restriction semigroup in the extended signature $(\cdot\,, ^+,\mx{},λ)$, where the unary operation $\mx{}$ maps an eleme…
A topological approach to discrete restriction semigroups and their algebras
Ganna Kudryavtseva
We introduce a general framework, based on étale topological categories, for studying discrete restriction semigroups and their algebras. Generalizing Paterson's universal groupoid…
Difference-restriction algebras with operators
Célia Borlido, Ganna Kudryavtseva, Brett McLean
We exhibit an adjunction between a category of abstract algebras of partial functions that we call difference-restriction algebras and a category of Hausdorff étale spaces. Differe…
On Special Inverse Monoids with the Strong -Inverse Property
Igor Dolinka, Ganna Kudryavtseva
An inverse monoid is called -inverse if each -class of , where is the minimum group congruence of , has a maximum element with respect to the natural order of $…
-birestriction monoids in enriched signature
Ganna Kudryavtseva, Ajda Lemut Furlani
Motivated by recent interest to -inverse monoids, on the one hand, and to restriction and birestriction monoids, on the other hand, we initiate the study of -birestriction mo…
Relating ample and biample topological categories with Boolean restriction and range semigroups
Ganna Kudryavtseva
We extend the equivalence by Cockett and Garner between restriction monoids and ample categories to the setting of Boolean range semigroups which are non-unital one-object versions…
A new approach to universal -inverse monoids in enriched signature
Ganna Kudryavtseva, Ajda Lemut Furlani
We show that the universal -generated -inverse monoid , where is an -generated group, introduced by Auinger, Szendrei and the first-named author, arises as a quo…
Boolean inverse semigroups and their type monoids
Ganna Kudryavtseva
This is an expository paper which provides a quick introduction to Boolean inverse semigroups and their type monoids, with the emphasis on techniques and insights of the theory, an…