Lattice properties of ring-like quantum logics (Q1586383)
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scientific article; zbMATH DE number 1529019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lattice properties of ring-like quantum logics |
scientific article; zbMATH DE number 1529019 |
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Lattice properties of ring-like quantum logics (English)
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25 February 2001
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Generalized Boolean quasirings are models of quantum logics. They might be defined by means of partial generalized Boolean quasirings which are in a one-to-one correspondence with bounded lattices with an involutory antiautomorphism. Connections between properties of these two structures are studied. Under certain assumptions, the associativity of the \(+\)-operation implies that a Boolean ring is obtained, i.e. the quantum system is classical.
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generalized Boolean quasiring
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quantum logic
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