Bc. Václav CENKER
Master's thesis
Variety MV-algeber
Varieties of MV-algebras
Abstract:
Cílem práce je shrnout známé výsledky o varietách MV-algeber, popsat svaz podvariet variety všech MV-algeber a axiomatizovat všechny podvariety. K tomu účelu práce využívá reprezentace MV-algeber pomocí abelovských l-grup. Navíc se práce zabývá také varietou LBCK-algeber a svazem podvariet variety všech LBCK-algeber.Abstract:
The aim of the thesis is to summarize known results on varieties of MV-algebras including detailed description of the lattice of subvarieties and equational characterization of all subvarieties. For that purpose we widely use representation of MV-algebras by abelian l-groups. Part of the work is also devoted to LBCK-algebras and their varieties.
Language used: Czech
Date on which the thesis was submitted / produced: 27. 6. 2022
Thesis defence
- Supervisor: prof. RNDr. Jan Kühr, Ph.D.
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The right form of listing the thesis as a source quoted
CENKER, Václav. Variety MV-algeber. Olomouc, 2022. diplomová práce (Mgr.). UNIVERZITA PALACKÉHO V OLOMOUCI. Přírodovědecká fakulta
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Institution archiving the thesis and making it accessible: UNIVERZITA PALACKÉHO V OLOMOUCI, Přírodovědecká fakultaPalacký University Olomouc
Faculty of ScienceMaster programme / field:
Discrete Mathematics / Discrete Mathematics
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