Pre-ideals of basic algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F11%3A33116125" target="_blank" >RIV/61989592:15310/11:33116125 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10773-011-0928-2" target="_blank" >http://dx.doi.org/10.1007/s10773-011-0928-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-011-0928-2" target="_blank" >10.1007/s10773-011-0928-2</a>
Alternative languages
Result language
angličtina
Original language name
Pre-ideals of basic algebras
Original language description
Basic algebras are a generalization of MV-algebras, also including orthomodular lattices and lattice effect algebras. A pre-ideal of a basic algebra is a non-empty subset that is closed under the addition and downwards closed with respect to the underlying order. In this paper, we study the pre-ideal lattices of algebras in a particular subclass of basic algebras which are closer to MV-algebras than basic algebras in general. We also prove that finite members of this subclass are exactly finite MV-algebras.
Czech name
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Czech description
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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)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Theoretical Physics
ISSN
0020-7748
e-ISSN
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Volume of the periodical
12
Issue of the periodical within the volume
50
Country of publishing house
US - UNITED STATES
Number of pages
16
Pages from-to
3828-3843
UT code for WoS article
000296923500016
EID of the result in the Scopus database
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