Orthocomplete pseudo MV-algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33161642" target="_blank" >RIV/61989592:15310/16:33161642 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/03081079.2016.1220008" target="_blank" >http://dx.doi.org/10.1080/03081079.2016.1220008</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/03081079.2016.1220008" target="_blank" >10.1080/03081079.2016.1220008</a>

Result language
angličtina
Original language name
Orthocomplete pseudo MV-algebras
Original language description
Pseudo MV-algebras are a non-commutative generalization of MV-algebras. The main purpose of the paper is to introduce and investigate orthocomplete pseudo MV-algebras. We use the concepts of projectable pseudo MV-algebras and large pseudo MV-subalgebras to introduce orthocomplete pseudo MV-algebras. Then we apply a generalization of the Mundici functor to an orthocompletion of an representable l-group to prove that each representable pseudo MV-algebra has an orthocompletion. In particular, our results are valid also for MV-algebras. (C) 2016 Informa UK Limited, trading as Taylor & Francis Group.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA15-15286S" target="_blank" >GA15-15286S: Algebraic, many-valued and quantum structures for uncertainty modelling</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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