Karin Cvetko-Vah

collaborators

5 papers

math.RA2019

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 $A$ arises fro…

math.RA2019

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…

math.RA2019

Regular Antilattices

Karin Cvetko-Vah, Michael Kinyon, Jonathan Leech +1

Antilattices $(S; \lor, \land)$ for which the Green's equivalences $L_{(\lor)}$ , $R_{(\lor)}$ , $L_{(\land)}$ and $R_{(\land)}$ are all congruence…

math.QA2019

Skew lattices and set-theoretic solutions of the Yang-Baxter equation

Karin Cvetko-Vah, Charlotte Verwimp

In this paper we discuss and characterize several set-theoretic solutions of the Yang-Baxter equation obtained using skew lattices, an algebraic structure that has not yet been rel…

math.QA2006

Towards a skew lattice approach to quantum (computational) logic

Karin Cvetko-Vah

In quantum mechanics, each observable is assigned a collection of projections. Two observables are compatible (can be measured simultaneously) if and only if any two projections th…