Some results on pseudo MV-algebras with square roots
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F23%3A73621040" target="_blank" >RIV/61989592:15310/23:73621040 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0165011423001525" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011423001525</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2023.108527" target="_blank" >10.1016/j.fss.2023.108527</a>
Alternative languages
Result language
angličtina
Original language name
Some results on pseudo MV-algebras with square roots
Original language description
The paper provides a study of pseudo MV-algebras with square roots. We introduce different notions of a square root on a pseudo MV-algebra, and present their main properties. We show that the class of pseudo-MV-algebras with square roots is a proper subvariety of the variety of pseudo MV-algebras. Then, we define a strict square root to classify the class of pseudo MValgebras with square roots. We found a relationship between strongly atomless pseudo MV-algebras and strict pseudo MV-algebras. Finally, we investigate square roots on representable symmetric pseudo MV-algebras, and we present a complete characterization of a square root and a weak square root on a representable symmetric pseudo MV-algebra using addition in a unital l-group. Some interesting examples are provided.
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
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
FUZZY SETS AND SYSTEMS
ISSN
0165-0114
e-ISSN
1872-6801
Volume of the periodical
465
Issue of the periodical within the volume
AUG
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
26
Pages from-to
"108527-1"-"108527-26"
UT code for WoS article
001018741500001
EID of the result in the Scopus database
2-s2.0-85153801739