Results 11 to 20 of about 813,495 (126)
On Locally Finite Orthomodular Lattices [PDF]
Mathematica Slovaca, 2023 Abstract Let us denote by ℒ ℱ $[\mathcal{L}\mathcal{F}$ the ...
Burešová, Dominika, Pták, Pavel
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Residuation in orthomodular lattices
Topological Algebra and its Applications, 2017 We show that every idempotent weakly divisible residuated lattice satisfying the double negation law can be transformed into an orthomodular lattice. The converse holds if adjointness is replaced by conditional adjointness.
Chajda Ivan, Länger Helmut
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Foulis Quantales and Complete Orthomodular Lattices
European Society for Fuzzy Logic and TechnologyarXiv admin note: text overlap with arXiv:2501 ...
Michal Botur, Jan Paseka, Richard Smolka
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Subjective expected utility on orthomodular lattices
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering SciencesAbstract In recent work, the author has developed a general category-theoretic framework for decision theory. This article applies this to the category of orthomodular lattices (OMLs). Every Boolean algebra is an OML, so this yields a new (syntactic) model of decision-making with classical uncertainty.
M. Pivato
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Negative Translations of Orthomodular Lattices and Their Logic [PDF]
QPL, 2021 We introduce residuated ortholattices as a generalization of -- and environment for the investigation of -- orthomodular lattices. We establish a number of basic algebraic facts regarding these structures, characterize orthomodular lattices as those ...
Wesley Fussner, Gavin St. John
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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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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
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Orthomodular Lattices Induced by the Concurrency Relation [PDF]
Electronic Proceedings in Theoretical Computer Science, 2009 We apply to locally finite partially ordered sets a construction which associates a complete lattice to a given poset; the elements of the lattice are the closed subsets of a closure operator, defined starting from the concurrency relation. We show that,
Luca Bernardinello +2 more
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PROPERTIES OF THE FORMAL CONTEXT OF ORTHOMODULAR LATTICES
Advances in Mathematics: Scientific Journal, 2022 Let $L$ be a finite Orthomodular Lattice and $T$ be the Formal Context of $L$. Then, considering $T$ as a binary symmetric matrix, we find the determinant of the formal context of the atomic amalgam $B_n+B_m$ of two Boolean algebras $\mathbf{B_{n}}$ and $
S. Shabnam, Ramananda Hs, Harsha Aj
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Profinite orthomodular lattices [PDF]
Proceedings of the American Mathematical Society, 1993 We prove that any compact topological orthomodular lattice L L is zero dimensional. This leads one to show that
Choe, Tae Ho, Greechie, Richard J.
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