Basic Algebras, Logics, Trends and Applications

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73583901" target="_blank" >RIV/61989592:15310/17:73583901 - isvavai.cz</a>
Result on the web
<a href="http://eds.b.ebscohost.com/eds/pdfviewer/pdfviewer?vid=1&sid=457b5893-883b-407d-80ad-e7fec98a5d31%40sessionmgr103" target="_blank" >http://eds.b.ebscohost.com/eds/pdfviewer/pdfviewer?vid=1&sid=457b5893-883b-407d-80ad-e7fec98a5d31%40sessionmgr103</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Basic Algebras, Logics, Trends and Applications
Original language description
The classical logics was axiotnatized algebraically by ineans of Boolean algebras in 19th century by George Boole. Similar attempts went on 20th century for algebraic axiomatization of non-classical logics, e.g. intuitionistic logics (Brouwer and Heyting algebras), many-valued logics (Iitikasiewicz, Chang's MV-algebras, Post algebras), the logic of quantum mechanics (orthomodular lattices and posets) and fuzzy logics (residuated lattices). In this paper, we are focused in a common generalization of MV-algebras and ortliottiod [flax lattices. The restiltitig algebras, called basic algebras, have surprisingly strong and interesting properties and they can be investigated in their own. The aim of the paper is to get an overview of results reached during the last decade.
Czech name
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Czech description
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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
10101 - Pure mathematics

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
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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