Sep 22, 2010 · 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( ...
Sep 22, 2010 · Abstract:Sachs showed that a Boolean algebra is determined by its lattice of subalgebras. We establish the corresponding result for ...
Dec 31, 2010 · Sachs (Can J Math 14:451–460, 1962) showed that a Boolean algebra is determined by its lattice of subalgebras.
Subalgebras of Orthomodular Lattices. John Harding. (with Andreas Döring and Mirko Navara). New Mexico State University www.math.nmsu.edu/∼JohnHarding.html.
The results here may add some additional perspective to the approach to the foundations of quantum mechanics initiated by Butterfield and Isham, ...
Jul 22, 2017 · A boolean subalgebra B of the orthomodular lattice L of closed subspaces of a separable Hilbert space, may be defined like a sublattice with 0 ...
, Pages 67-76. Journal of Pure and Applied Algebra. Orthomodular lattices containing MO2 as a subalgebra. Dedicated to Bernhard Benaschewski on the occasion of ...
People also ask
What are sublattices of a lattice?
What is the study of lattices?
Introduction. Every orthomodular lattice (abbreviated : OML) is the union of its maximal Boolean subalgebras (blocks). The question thus arises.
In this paper we try to give an up-to-date account of certain aspects of the the- ory of ortholattices (abbreviated OLs), orthomodular lattices (abbreviated ...
Boolean subalgebras in any orthomodular lattice and hence there is ... Indeed, Boolean algebras are crucial to the understanding of orthomodular lattices.