Results 101 to 110 of about 399 (126)
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Lattice-valued General Orthomodular Automata
International Journal of Theoretical Physics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abolpour, Kh. +2 more
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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.
Bruns, Gunter, Roddy, Michael
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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.
Bruns, Günter, Kalmbach, Gudrun
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Projective orthomodular lattices II
Algebra Universalis, 1997The authors continue the study of projectivity in orthomodular lattices started in Part I [Can. Math. Bull. 37, No. 2, 145-153 (1994; Zbl 0819.06007)]. The main results: Theorem 1.1. No uncountable Boolean algebra is projective in the variety of all orthomodular lattices. Corollary 1.3. Every Boolean subalgebra of a free orthomodular lattice is at most
Bruns, G., Roddy, M. S.
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Decidability in Orthomodular Lattices
International Journal of Theoretical Physics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hyčko, Marek, Navara, Mirko
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Orthomodular lattices as L-algebras
Soft Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Yali, Yang, Yichuan
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Block-Finite Orthomodular Lattices
Canadian Journal of Mathematics, 1979Introduction. Every orthomodular lattice (abbreviated : OML) is the union of its maximal Boolean subalgebras (blocks). The question thus arises how conversely Boolean algebras can be amalgamated in order to obtain an OML of which the given Boolean algebras are the blocks.
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n-Orthodistributivity in Orthomodular Lattices
International Journal of Theoretical Physics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moes, Justin, Roddy, Micheale S.
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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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Orthomodular Symmetric Lattices
1970Let J be an ideal of a lattice L, and assume that every element of J is modular. If x,y∈J and x ≦a ∨ y in L, then there exists an element u ∈ J such that x≦u ∨ y andu≦a.
Fumitomo Maeda, Shûichirô Maeda
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