Pseudo EMV-algebras. II. representation and states
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F19%3A73597651" target="_blank" >RIV/61989592:15310/19:73597651 - isvavai.cz</a>
Result on the web
<a href="https://www.researchgate.net/publication/337465265_Pseudo_EMV-algebras_II_Representation_and_States" target="_blank" >https://www.researchgate.net/publication/337465265_Pseudo_EMV-algebras_II_Representation_and_States</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Pseudo EMV-algebras. II. representation and states
Original language description
The paper is a continuation of the research on pseudo EMV-algebras which started in [13]. We show that every pseudo EMV-algebra without top element can be embedded into a pseudo EMV-algebra with top element as a maximal and normal ideal of the latter one. We present a categorical equivalence of the category of pseudo EMV-algebras without top element with a special category of pseudo MV-algebras or with a special category of ℓ-groups. Finally, we study states as finitely additive mappings as well as state-morphisms on pseudo EMV-algebras. We show that each state, if it exists, is a weak limit of a net of convex combinations of state-morphisms, and every state can be represented as an integral with respect to a unique regular σ-additive Borel probability measure.
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
Journal of Applied Logics-IfCoLoG Journal of Logics and their Applications
ISSN
2055-3706
e-ISSN
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Volume of the periodical
6
Issue of the periodical within the volume
7
Country of publishing house
GB - UNITED KINGDOM
Number of pages
44
Pages from-to
1329-1372
UT code for WoS article
000519571900006
EID of the result in the Scopus database
2-s2.0-85076561007