Generalized pseudo-EMV-effect algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F19%3A73597340" target="_blank" >RIV/61989592:15310/19:73597340 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs00500-019-03880-0" target="_blank" >https://link.springer.com/article/10.1007%2Fs00500-019-03880-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-019-03880-0" target="_blank" >10.1007/s00500-019-03880-0</a>
Alternative languages
Result language
angličtina
Original language name
Generalized pseudo-EMV-effect algebras
Original language description
EMV-algebras were recently introduced in Dvurecenskij and Zahiri (Fuzzy Sets Syst, 2019. 10.1016/j.fss.2019.02.013) as new structures generalizing both MV-algebras and Boolean rings. These algebras do not assume that they contain a top element. We present a non-commutative generalization of EMV-algebras, called pseudo-EMV-algebras. We show how from a pseudo-EMV-algebra we can derive a generalized pseudo-EMV-effect algebra and conversely, from a generalized effect algebra with a stronger type of the Riesz decomposition property we can derive a pseudo-EMV-algebra. We show that every generalized pseudo-EMV-effect algebra without top element can be embedded into a pseudo-MV-effect algebra with top element as a maximal and normal ideal of the pseudo-MV-effect algebra.
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
2019
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
23
Issue of the periodical within the volume
20
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
9807-9819
UT code for WoS article
000487038100003
EID of the result in the Scopus database
2-s2.0-85062779347