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Orthocomplemented difference lattices
Havlík, František ; Pták, Pavel (advisor) ; Matoušek, Milan (referee)
The theme of this thesis is the investigation of a binary operator, 4, that models the standard symmetric di erence of sets. This operator is studied both separately (in Chapter II) and with the supplementary lattice structure (Chapter III and the rest). The class ODL is introduced and some of its basic properties are investigated. Then there is exhibited the class HOR. The class HOR is a subclass of ODL which is closely related to the class of Boolean algebras. In the last Chapter there is described the construction of free orthocomplemented di erence lattice with two generators. 3
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Algebraic Metods in Multivalued Logics
Matoušek, Milan ; Pták, Pavel (advisor) ; Navara, Mirko (referee) ; Dvurečenskij, Anatolij (referee)
In the thesis we deal with a binary operation that acts as abstract "symmetric difference". We endow orthocomplemented lattices with this operation and obtain a new class of algebras. We call these algebras orthocomplemented difference lattices (ODLs). We first see that the ODLs form a class that contains Boolean algebras and is contained in orthomodular lattices (OMLs). In the subsequent analysis we study algebraic properties of ODLs (identities valid in classes of ODLs, peculiarities connected with free ODLs, etc.) and find a characterization of set-representable ODLs. We then ask a natural question of which OML can be made (resp. can be enlarged to) an ODL. We exhibit several constructions - quite involved in places - that deepen the understanding of intrinsic properties of ODLs. As a rather surprising result in this line we find a connection with Z2-valued measures. In the end we relax the lattice condition imposed on ODLs. We obtain orthocomplemented difference posets. We then formulate and clarify several questions related to non-lattice "quantum logics".
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Orthocomplemented difference lattices
Havlík, František ; Matoušek, Milan (referee) ; Pták, Pavel (advisor)
The theme of this thesis is the investigation of a binary operator, 4, that models the standard symmetric di erence of sets. This operator is studied both separately (in Chapter II) and with the supplementary lattice structure (Chapter III and the rest). The class ODL is introduced and some of its basic properties are investigated. Then there is exhibited the class HOR. The class HOR is a subclass of ODL which is closely related to the class of Boolean algebras. In the last Chapter there is described the construction of free orthocomplemented di erence lattice with two generators. 3
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Národní inventura persistentních organických polutantů v České republice: Výroba, použití, nespotřebované zásoby, odpady, hot spots, kontaminovaná místa, emisní inventura
Recetox - Tocoen and Associates, Brno ; Kohoutek, Jiří ; Ocelka, Tomáš ; Jech, Libor ; Adamec, Vladimír ; Machálek, Pavel ; Rieder, Mark ; Kužílek, Vladimír ; Čupr, Pavel ; Petira, Oldřich ; Matoušek, Jiří ; Matoušek, Milan ; Holoubek, Ivan
Analýza oblastí pro hodnocení chemických látek v rámci implementace Stockholmské úmluvy zahrnuje legislativu, výrobu, import/export, použití, zásoby a kontaminovaná místa. V rámci těchto oblastí je zkoumáno zacházení s jednotlivými skupinami POPs látek.
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