Varieties of PBZ*-lattices
Roberto Giuntini, Claudia Mureșan, Francesco Paoli · arXiv (Cornell University) · 2018
We investigate the structure theory of some subvarieties of the variety of \emph{PBZ*-lattices}. These lattices with additional structure originate in the foundations of quantum mechanics and can be viewed as a common generalisation of orthomodular lattices and Kleene algebras expanded by an extra unary operation. We explore the connections between (subvarieties of) PBZ*-lattices and some neighbouring classes of algebras, including Stone algebras, as well as the relationships with the theories of subtractive and binary discriminator varieties.