Basic algebras and their applications, an overview
Result description
Basic algebras were introduced as a common algebraic axiomatization of the logic of quantum mechanics and many-valued Lukasiewicz logics. These are equivalent to bounded lattices having antitone involutions in every section. The paper contains principalresults on basic algebras and shows their connections to MV-algebras and orthomodular lattices. Application of basic algebras are shown for the so-called effect algebras.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Basic algebras and their applications, an overview
Original language description
Basic algebras were introduced as a common algebraic axiomatization of the logic of quantum mechanics and many-valued Lukasiewicz logics. These are equivalent to bounded lattices having antitone involutions in every section. The paper contains principalresults on basic algebras and shows their connections to MV-algebras and orthomodular lattices. Application of basic algebras are shown for the so-called effect algebras.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Contributions to General Algebra 20
ISBN
978-3-7084-0447-9
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
1-10
Publisher name
Johannes Heyn Verlag
Place of publication
Klagenfurt
Event location
Salzburg
Event date
Feb 3, 2011
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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Basic information
Result type
D - Article in proceedings
CEP
BA - General mathematics
Year of implementation
2011