When is a BCC-algebra equivalent to an MV-algebra?
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F07%3A00004738" target="_blank" >RIV/61989592:15310/07:00004738 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
When is a BCC-algebra equivalent to an MV-algebra?
Original language description
The aim of this paper is to characterize BCC-algebras which are term equivalent to MV-algebras. It turns out that they are just the commutative BCC-algebras. Further, we characterize congruence kernels as deductive systems. The explicit description of principal deductive systems enables us to prove that every subdirectly irreducible bounded commutative BCC-algebra is a chain.
Czech name
Kdy je BCC-algebra ekvivalentní s MV-algebrou?
Czech description
Jsou charakterizovány BCC-algebry termově ekvivalentní s MV-algebrami. Dále jsou popsána kongruenční jádra jako deduktivní systémy, což umožňuje ukázat, že subdirektně ireducibilní algebry jsou lineárně uspořádané.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
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
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Demonstratio Mathematica
ISSN
0420-1213
e-ISSN
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Volume of the periodical
40
Issue of the periodical within the volume
4
Country of publishing house
PL - POLAND
Number of pages
10
Pages from-to
759-768
UT code for WoS article
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EID of the result in the Scopus database
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