6 citations · 18 across the 11 of their papers we have counts for
10 papers · 1 filter
On elementary, odd, semimagic and other classes of antilattices
Karin Cvetko-Vah, Michael Kinyon, Tomaž Pisanski
An \emph{antilattice} is an algebraic structure based on the same set of axioms as a lattice except that the two commutativity axioms for and are replaced by anticom…
Duality for noncommutative frames
Karin Cvetko-Vah, Jens Hemelaer, Lieven Le Bruyn
We characterize the left-handed noncommutative frames that arise from sheaves on topological spaces. Further, we show that a general left-handed noncommutative frame arises fro…
Noncommutative Frames Revisited
Karin Cvetko-Vah, Jens Hemelaer, Jonathan Leech
In this note, we correct an error in arXiv:1702.04949 by adding an additional assumption of join completeness. We demonstrate with examples why this assumption is necessary, and di…
Regular Antilattices
Karin Cvetko-Vah, Michael Kinyon, Jonathan Leech +1
Antilattices for which the Green's equivalences , , and are all congruence…
What is a noncommutative topos?
Karin Cvetko-Vah, Jens Hemelaer, Lieven Le Bruyn
In 1702.04949 noncommutative frames were introduced, generalizing the usual notion of frames of open sets of a topological space. In this paper we extend this notion to noncommutat…
Noncommutative frames
Karin Cvetko-Vah
We explore algebraic properties of noncommutative frames. The concept of noncommutative frames is due to Le Bruyn, who introduced it in connection with noncommutative covers of the…
On Skew Heyting Algebras
Karin Cvetko-Vah
In the present paper we generalize the notion of a Heyting algebra to the non-commutative setting and hence introduce what we believe to be the proper notion of the implication in…
Flat Coset Decompositions of Skew Lattices
Joao Pita Costa, Karin Cvetko-Vah
Skew lattices are non-commutative generalizations of lattices, and the cosets represent the building blocks that skew lattices are built of. As by Leech's Second Decomposition Theo…
A non-commutative Priestley duality
Andrej Bauer, Karin Cvetko-Vah, Mai Gehrke +2
We prove that the category of left-handed strongly distributive skew lattices with zero and proper homomorphisms is dually equivalent to a category of sheaves over local Priestley…
Stone Duality for Skew Boolean Algebras with Intersections
Andrej Bauer, Karin Cvetko-Vah
We extend Stone duality between generalized Boolean algebras and Boolean spaces, which are the zero-dimensional locally-compact Hausdorff spaces, to a non-commutative setting. We f…