Free Algebras in Finitely Generated Varieties of Commutative BCK-algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73633402" target="_blank" >RIV/61989592:15310/25:73633402 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s11083-025-09694-0" target="_blank" >https://link.springer.com/article/10.1007/s11083-025-09694-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11083-025-09694-0" target="_blank" >10.1007/s11083-025-09694-0</a>
Alternative languages
Result language
angličtina
Original language name
Free Algebras in Finitely Generated Varieties of Commutative BCK-algebras
Original language description
The article aims at describing finitely generated free algebras in certain finitely generated varieties of commutative BCK-algebras. To achieve this, we first investigate homomorphisms from free commutative BCK-algebras to free ŁBCK-algebras that extend the insertion of generators. The approach allows us to utilize existing results on free ŁBCK-algebras. The second step involves valuations and their equivalence. An essential part is to count the number of non-equivalent valuations with specific properties. With the number in hand, we can provide a comprehensive description of the free algebras.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS
ISSN
0167-8094
e-ISSN
1572-9273
Volume of the periodical
42
Issue of the periodical within the volume
2
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
17
Pages from-to
491-507
UT code for WoS article
001443630300001
EID of the result in the Scopus database
2-s2.0-85217167394