Symmetric difference on orthomodular lattices and $Z_2$-valued states

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11210%2F09%3A00200723" target="_blank" >RIV/00216208:11210/09:00200723 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21230/09:00167619

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Symmetric difference on orthomodular lattices and $Z_2$-valued states

Original language description

The investigation of orthocomplemented lattices with a symmetric difference initiated the following question: Which orthomodular lattice can be embedded in an orthomodular lattice that allows for a symmetric difference? In this paper we present a necessary condition for such an embedding to exist. The condition is expressed in terms of $Z_2$-valued states and enables one, as a consequence, to clarify the situation in the important case of the lattice of projections in a Hilbert space.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F07%2F1051" target="_blank" >GA201/07/1051: Algebraic and measure-theoretic aspects of quantum structures</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE

ISSN

0010-2628

e-ISSN

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Volume of the periodical

50

Issue of the periodical within the volume

4

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

13

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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