Hoops and domains

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73633944" target="_blank" >RIV/61989592:15310/25:73633944 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0165011425001435" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011425001435</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2025.109404" target="_blank" >10.1016/j.fss.2025.109404</a>

Result language
angličtina
Original language name
Hoops and domains
Original language description
The relationship between MV-algebras and Bézout domains was first explored in [31,29,30]. In this paper, we build upon those studies to extend the results to Wajsberg hoops. We begin by examining Wajsberg hoops as (weak) filters of MV-algebras. We establish a representation for every Wajsberg hoop as a subdirect product of a cancellative hoop and a boundedly representable Wajsberg hoop. These results demonstrate that every Wajsberg hoop can be associated with a specific subset of a Bézout domain R, i.e., a saturated multiplicative system of R with a special property. Furthermore, we characterize Bézout domains corresponding to cancellative hoops and linear Wajsberg hoops.
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
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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