Locally sigma-complete and locally complete EMV-algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73609919" target="_blank" >RIV/61989592:15310/21:73609919 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs00500-020-05486-3" target="_blank" >https://link.springer.com/article/10.1007%2Fs00500-020-05486-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-020-05486-3" target="_blank" >10.1007/s00500-020-05486-3</a>
Alternative languages
Result language
angličtina
Original language name
Locally sigma-complete and locally complete EMV-algebras
Original language description
In the paper, we introduce the concept of a locally complete EMV-algebra and a locally sigma-complete EMV-algebra. They are generalizations of a complete and sigma-complete MV-algebra, respectively. We will find some representations for locally complete EMV-algebras with atomic idempotent elements. We prove that each EMV-algebra of this type is a subdirect product of directly indecomposable complete EMV-algebras with top element. Also, we find a necessary and sufficient condition for a locally complete EMV-algebra when its representing EMV-algebra with the greatest element 1 is complete. Finally, we investigate the Cantor-Bernstein-type theorems for locally sigma-complete EMV-algebras and sigma-complete EMV-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
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
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SOFT COMPUTING
ISSN
1432-7643
e-ISSN
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Volume of the periodical
25
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
883-894
UT code for WoS article
000604814700001
EID of the result in the Scopus database
2-s2.0-85098653868