Results 21 to 30 of about 1,569 (137)
Distributivity and perspectivity in orthomodular lattices [PDF]
Transactions of the American Mathematical Society, 1964 Samuel S. Holland
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Roughness in lattice ordered effect algebras. [PDF]
ScientificWorldJournal, 2014 Many authors have studied roughness on various algebraic systems. In this paper, we consider a lattice ordered effect algebra and discuss its roughness in this context. Moreover, we introduce the notions of the interior and the closure of a subset and give some of their properties in effect algebras. Finally, we use a Riesz ideal induced congruence and
Xin XL, Hua XJ, Zhu X.
europepmc +2 more sources
STATES ON ORTHOMODULAR LATTICES [PDF]
Demonstratio Mathematica, 1982 Radosiaw Godowski
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Conditions for the modularity of an orthomodular lattice [PDF]
Pacific Journal of Mathematics, 1961 David J. Foulis
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Topological duality for orthomodular lattices
Mathematical Logic Quarterly, Volume 69, Issue 2, Page 174-191, May 2023., 2023 Abstract A class of ordered relational topological spaces is described, which we call orthomodular spaces. Our construction of these spaces involves adding a topology to the class of orthomodular frames introduced by Hartonas, along the lines of Bimbó's topologization of the class of orthoframes employed by Goldblatt in his representation of ...
Joseph McDonald, Katalin Bimbó
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The paraunitary group of a von Neumann algebra
Bulletin of the London Mathematical Society, Volume 54, Issue 4, Page 1220-1231, August 2022., 2022 Abstract It is proved that the pure paraunitary group over a von Neumann algebra coincides with the structure group of its projection lattice. The structure group of an arbitrary orthomodular lattice (OML) is a group with a right invariant lattice order, and as such it is known to be a complete invariant of the OML.
Carsten Dietzel, Wolfgang Rump
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Quantifiers and orthomodular lattices [PDF]
Pacific Journal of Mathematics, 1963 M. F. Janowitz
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The main goal of this paper is to introduce and investigate the related theory on monadic effect algebras. First, we design the axiomatic system of existential quantifiers on effect algebras and then use it to give the definition of the universal quantifier and monadic effect algebras.
Yuxi Zou, Xiaolong Xin, Li Guo
wiley +1 more source
Bell-type inequalities for bivariate maps on orthomodular lattices [PDF]
, 2014 Bell-type inequalities on orthomodular lattices, in which conjunctions of propositions are not modeled by meets but by maps for simultaneous measurements (s-maps), are studied.
Nanasiova, Olga +2 more
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A Topological Study of Contextuality and Modality in Quantum Mechanics [PDF]
, 2006 Kochen-Specker theorem rules out the non-contextual assignment of values to physical magnitudes. Here we enrich the usual orthomodular structure of quantum mechanical propositions with modal operators.
B.C. Fraassen van +22 more
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