Orthocomplemented lattices with a symmetric difference

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11210%2F09%3A00200726" target="_blank" >RIV/00216208:11210/09:00200726 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Orthocomplemented lattices with a symmetric difference

Original language description

Modelling an abstract version of the set-theoretic operation of symmetric difference, we first introduce the class of orthocomplemented difference lattices. We then exhibit examples of ODLs and investigate their basic properties, analyse an appropriate version of ideals and valuations in ODLs and show that the set-representable ODLs form a variety. We finally investigate the question of constructing ODLs from Boolean algebras and obtain, as a by-product, examples of ODLs that are not set-representable but that ?live? on set-representable OMLs.

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

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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

Algebra Universalis

ISSN

0002-5240

e-ISSN

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Volume of the periodical

60

Issue of the periodical within the volume

2

Country of publishing house

CH - SWITZERLAND

Number of pages

31

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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