Pseudo MV-algebras and lexicographic product

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33161644" target="_blank" >RIV/61989592:15310/16:33161644 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0165011415004844" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0165011415004844</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2015.09.024" target="_blank" >10.1016/j.fss.2015.09.024</a>

Result language
angličtina
Original language name
Pseudo MV-algebras and lexicographic product
Original language description
We study algebraic conditions when a pseudo MV-algebra is an interval in the lexicographic product of an Abelian unital linearly ordered group and an ℓ-group that is not necessarily Abelian. We introduce two classes of pseudo MV-algebras which can be split into a system of comparable slices indexed by elements of an interval in an Abelian linearly ordered group. We show when such pseudo MV-algebras have a representation by a lexicographic product with an ℓ-group. Fixing a unital ℓ-group, we show that the category of such pseudo MV-algebras is categorically equivalent to the category of ℓ-groups. (C) 2015 Elsevier B.V.
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
—

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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