Results 141 to 150 of about 672,721 (195)
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Projective Orthomodular Lattices
Canadian Mathematical Bulletin, 1994AbstractWe introduce sectional projectivity, which appears to be the correct notion of projectivity when working with orthomodularlattices. We prove some positive results for varieties of OMLs satisfying various finiteness conditions, namely that every finite OML in such a variety is sectionally projective.
Günter Bruns, Michael S. Roddy
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Varieties of Orthomodular Lattices
Canadian Journal of Mathematics, 1971In this paper we start investigating the lattice of varieties of orthomodular lattices. The varieties studied here are those generated by orthomodular lattices which are the horizontal sum of Boolean algebras. It turns out that these form a principal ideal in the lattice of all varieties of orthomodular lattices.
Günter Bruns, Gudrun Kalmbach
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Boolean quotients of orthomodular lattices [PDF]
Algebra Universalis, 1995 Let \(L\) be an orthomodular lattice and \(J\) a proper \(p\)-ideal of \(L\) (i.e. a lattice ideal such that \(a \in L\), \(b \in L \Rightarrow (a \vee b') \wedge b \in L)\). The present paper investigates the properties of those orthomodular lattices for which there exist nontrivial Boolean quotients \(L/J\).
Sylvia Pulmannová, A. B. D'Andrea
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Completions of orthomodular lattices
Order, 1990zbMATH Open Web Interface contents unavailable due to conflicting licenses.
John Harding +3 more
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A Note on Orthomodular Lattices
International Journal of Theoretical Physics, 2016We introduce a new identity equivalent to the orthomodular law in every ortholattice.
Bonzio S., Chajda I.
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Conditional probabilities on orthomodular lattices
Reports on Mathematical Physics, 1984A definition of generalized probability on an orthomodular lattice which includes as particular cases the classical probability space and non- commutative probability theory on a von Neumann algebra is proposed. In this generalized structure the problem of conditioning with respect to Boolean \(\sigma\)-subalgebras is examined.
CASSINELLI, GIOVANNI, P. Truini:
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International Journal of Theoretical Physics, 1995
For two classes of algebras \(C_2\subseteq C_1\) (minimal) exclusion systems \(\Sigma\subseteq C_1- C_2\) are discussed, for \(C_1\): all orthomodular lattices OML, \(C_2\): all modular ortholattices. A negative answer is given to the question of a finite \(\Sigma\) consisting of finite OML: Every such \(\Sigma\) contains an infinite OML. A minimal OML
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For two classes of algebras \(C_2\subseteq C_1\) (minimal) exclusion systems \(\Sigma\subseteq C_1- C_2\) are discussed, for \(C_1\): all orthomodular lattices OML, \(C_2\): all modular ortholattices. A negative answer is given to the question of a finite \(\Sigma\) consisting of finite OML: Every such \(\Sigma\) contains an infinite OML. A minimal OML
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Orthomodular Lattice-valued General Automata
New Mathematics and Natural Computation, 2023K. Abolpour, M. Zahedi, M. Shamsizadeh
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A Symmetric-Difference-Closed Orthomodular Lattice That Is Stateless
Order, 2022Václav Voráček, P. Pták
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Lattice-valued General Orthomodular Automata
International Journal of Theoretical Physics, 2023K. Abolpour, M. Zahedi, M. Shamsizadeh
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