On order types of linear basic algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33155716" target="_blank" >RIV/61989592:15310/15:33155716 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007%2Fs00012-015-0328-1" target="_blank" >http://link.springer.com/article/10.1007%2Fs00012-015-0328-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00012-015-0328-1" target="_blank" >10.1007/s00012-015-0328-1</a>

Result language
angličtina
Original language name
On order types of linear basic algebras
Original language description
Basic algebras form a common generalization of MV-algebras and of orthomodular lattices, the algebraic tool for axiomatization of many-valued Lukasiewicz logic and the logic of quantum mechanics. Hence, they are included among the so-called quantum structures. An important role is played by linearly ordered basic algebras because every subdirectly irreducible MV-algebra and every subdirectly irreducible commutative basic algebra is linearly ordered. Since subdirectly irreducible linearly ordered basic algebras exist of any infinite cardinality, the natural question is to describe all possible order types of these algebras. This problem is solved in the paper.
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/EE2.3.20.0051" target="_blank" >EE2.3.20.0051: Algebraic methods in Quantum Logic</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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