On generating and concreteness in quantum logics

Vladimír Rogalewicz

Displaying similar documents to “On generating and concreteness in quantum logics”

On centers and state spaces of logics

Pták, Pavel

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Subalgebras and sublogics of $σ$ -logics

Ján Šipoš (1978)

Mathematica Slovaca

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On the concreteness of quantum logics

Pavel Pták, John David Maitland Wright (1985)

Aplikace matematiky

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It is shown that for any quantum logic $L$ one can find a concrete logic $K$ and a surjective homomorphism $f$ from $K$ onto $L$ such that $f$ maps the centre of $K$ onto the centre of $L$ . Moreover, one can ensure that each finite set of compatible elements in $L$ is the image of a compatible subset of $K$ . This result is “best possible” - let a logic $L$ be the homomorphic image of a concrete logic under a homomorphism such that, if $F$ is a finite subset of the pre-image of a compatible subset of $L$ , then...

Automorphisms of concrete logics

Mirko Navara, Josef Tkadlec (1991)

Commentationes Mathematicae Universitatis Carolinae

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The main result of this paper is Theorem 3.3: Every concrete logic (i.e., every set-representable orthomodular poset) can be enlarged to a concrete logic with a given automorphism group and with a given center. Since every sublogic of a concrete logic is concrete, too, and since not every state space of a (general) quantum logic is affinely homeomorphic to the state space of a concrete logic [8], our result seems in a sense the best possible. Further, we show that every group is an automorphism...

Displaying similar documents to “On generating and concreteness in quantum logics”

On centers and state spaces of logics

Subalgebras and sublogics of σ -logics

On the concreteness of quantum logics

Automorphisms of concrete logics

Subalgebras and sublogics of $σ$ -logics