Algebras derived from sectionally involuted lattices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F07%3A00004803" target="_blank" >RIV/61989592:15310/07:00004803 - 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
Algebras derived from sectionally involuted lattices
Original language description
It is shown in a previous paper, that a certain algebra can be derived from a bounded lattice having an antitone involution on every section. Conversely, we derive a ring-like structure convertible in the above mentioned lattice. If, moreover, thelatticeis a Boolean algebra, the Metod yields the usual transformation to the assigned Boolean ring and vice versa. A connection to MV-algebras is also treated.
Czech name
Allgebry odvozené ze svazů se sekčními involucemi.
Czech description
V předchozí práci bylo ukázáno, že jisté algebry lze odvodit z ohraničených svazů se sekčními antitonními involucemi. Obráceně odvozujeme okruhové struktury, které lze konvertovat v takové svazy. Je zde ukázána souvislost s Booleovými algebrymi a MV-algebrami.
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
Italian Journal of Pure and Applied Mathematics
ISSN
1126-8042
e-ISSN
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Volume of the periodical
21
Issue of the periodical within the volume
1
Country of publishing house
IT - ITALY
Number of pages
10
Pages from-to
95-104
UT code for WoS article
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EID of the result in the Scopus database
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