In: Mathematica Slovaca, vol. 60, no. 5
Milan Matoušek - Pavel Pták
Detaily:
Rok, strany: 2010, 583 - 590
Kľúčové slová:
orthomodular poset, quantum logic, symmetric difference, Boolean algebra
O článku:
In this note we continue the investigation of algebraic properties of orthocomplemented (symmetric) difference lattices (ODLs) as initiated and previously studied by the authors. We take up a few identities that we came across in the previous considerations. We first see that some of them characterize, in a somewhat non-trivial manner, the ODLs that are Boolean. In the second part we select an identity peculiar for set-representable ODLs. This identity allows us to present another construction of an ODL that is not set-representable. We then give the construction a more general form and consider algebraic properties of the `orthomodular support'.
Ako citovať:
ISO 690:
Matoušek, M., Pták, P. 2010. On identities in orthocomplemented difference lattices. In Mathematica Slovaca, vol. 60, no.5, pp. 583-590. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0033-7
APA:
Matoušek, M., Pták, P. (2010). On identities in orthocomplemented difference lattices. Mathematica Slovaca, 60(5), 583-590. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0033-7
O vydaní: