n-roots on MV-algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F24%3A73627589" target="_blank" >RIV/61989592:15310/24:73627589 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0165011424000769" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011424000769</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2024.108930" target="_blank" >10.1016/j.fss.2024.108930</a>

Result language
angličtina
Original language name
n-roots on MV-algebras
Original language description
We introduce and investigate..-roots in the context of MV-algebras as a generalization of square roots introduced in [16]. We outline their main properties and establish that the class of MValgebras with..-roots,......, forms a variety. Next, we introduce the concept of strict..-roots and demonstrate an equivalence between...... and the class of..-divisible unital..-groups. It helped us to show that each MV-algebra with an..-root is a direct product of an..-strict MV-algebra and a Boolean algebra. Finally, we delve into the connection between strongly atomless MV-algebras and MV-algebras with strict..-roots, demonstrating that in the context of......, these concepts are equivalent.
Czech name
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Czech description
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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
10102 - Applied mathematics

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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