Results 51 to 60 of about 428,865 (120)
A characterization of state spaces of orthomodular lattices [PDF]
, 1974 It is shown that every rational polytope is affinely equivalent to the set of all states of a finite orthomodular lattice, and that every compact convex subset of a locally convex topological vector space is affinely homeomorphic to the set of all states
Shultz, Frederic W
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Conditional associativity in orthomodular lattices
, 2017 For orthomodular lattices the word problem is still not decided, an important obstacle is the lack of distributivity. But also the absence of the associativity law for operations other than the lattice operations meet and join causes difficulties.
Jeannine J. M. Gabriëls
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Some properties of congurence relations on orthomodular lattices [PDF]
, 2001 In this paper congruences on orthomodular lattices are studied with particular regard to analogies in Boolean algebras. For this reason the lattice of p-ideals (corresponding to the congruence lattice) and the interplay between congruence classes is ...
Dorfer, Gerhard
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Orthomodular and generalized orthomodular posets
, 2022 We prove that the 18-element non-lattice orthomodular poset depicted in the paper is the smallest one and unique up to isomorphism. Since not every Boolean poset is orthomodular, we consider the class of the so-called generalized orthomodular posets ...
Länger, Helmut +2 more
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Hypersubstitutions in orthomodular lattices [PDF]
, 2001 It is shown that in the variety of orthomodular lattices every hypersubstitution respecting all absorption laws either leaves the lattice operations unchanged or interchanges join and meet.
Länger, Helmut, Chajda, Ivan
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A Finiteness Criterion for Orthomodular Lattices
, 1978 The main result of this paper is the following: THEOREM. Every finitely generated orthomodular lattice L with finitely many maximal Boolean subalgebras (blocks) is finite.
Günter Bruns
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Renormalisation of composite operators in lattice QCD: perturbative versus nonperturbative [PDF]
, 2010 The perturbative and nonperturbative renormalisation of quark-antiquark operators in lattice QCD with two flavours of clover fermions is investigated within the research programme of the QCDSF collaboration.
James Zanotti +21 more
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Varieties of Orthomodular Lattices
, 1971 In 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.
Günter Bruns, Gudrun Kalmbach
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Varieties of Orthomodular Lattices. II
, 1972 In this paper we continue the study of equationally defined classes of orthomodular lattices started in [1].The only atom in the lattice of varieties of orthomodular lattices is the variety of all Boolean algebras.
Günter Bruns, Gudrun Kalmbach
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Generalized XOR Operation and the Categorical Equivalence of the Abbott Algebras and Quantum Logics. [PDF]
Int J Theor Phys (Dordr), 2023 Burešová D.
europepmc +1 more source