Results 21 to 30 of about 672,721 (195)
Orthomodular Lattices and a Quantum Algebra [PDF]
International Journal of Theoretical Physics, 2001 We show that one can formulate an algebra with lattice ordering so as to contain one quantum and five classical operations as opposed to the standard formulation of the Hilbert space subspace algebra. The standard orthomodular lattice is embeddable into the algebra.
Mladen Pavicic, Norman D. Megill
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Congruence relations on orthomodular lattices [PDF]
Journal of the Australian Mathematical Society, 1966 We denote lattice join and meet by ∨ and ∧ respectively and the associated partial order by ≧. A lattice L with 0 and I is said to be orthocomplemented if it admits a dual automorphism x → x′, that is a one-one mapping of L onto itself such that which is involutive, so that for each x in L and, further, is such that for each x in L.
П. Д. Финч
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Distributivity and perspectivity in orthomodular lattices [PDF]
Transactions of the American Mathematical Society, 1964 Samuel S. Holland
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An orthomodular lattice admitting no group-valued measure [PDF]
, 1994 M. Navara
semanticscholar +2 more sources
STATES ON ORTHOMODULAR LATTICES [PDF]
Demonstratio Mathematica, 1982 Radosiaw Godowski
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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
wiley +1 more source
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
wiley +1 more source
Subalgebras of Orthomodular Lattices [PDF]
Order, 2010 Sachs showed that a Boolean algebra is determined by its lattice of subalgebras. We establish the corresponding result for orthomodular lattices. We show that an orthomodular lattice L is determined by its lattice of subalgebras Sub(L), as well as by its poset of Boolean subalgebras BSub(L).
Mirko Navara, John Harding
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Quantifiers and orthomodular lattices [PDF]
Pacific Journal of Mathematics, 1963 M. F. Janowitz
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