Mathematica Slovaca | |
On identities in orthocomplemented difference lattices | |
Pavel Pták1  Milan Matoušek1  | |
关键词: orthomodular poset; quantum logic; symmetric difference; Boolean algebra; | |
DOI : 10.2478/s12175-010-0033-7 | |
学科分类:数学(综合) | |
来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute | |
【 摘 要 】
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’.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912080690815ZK.pdf | 170KB | download |