Orthomodular lattice: Difference between revisions

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	Lattices of this form are of crucial importance for the study of ], since they are part of the axiomisation of the ] ] of ].		Lattices of this form are of crucial importance for the study of ], since they are part of the axiomisation of the ] ] of ].

			== References ==
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Revision as of 12:14, 14 June 2007

An orthomodular lattice is an orthocomplemented lattice $L$ that satisfies the following condition for all $x,y\in L$ :

x\leq y

then

y=x\lor (x^{\perp }\land y)

Lattices of this form are of crucial importance for the study of quantum logic, since they are part of the axiomisation of the Hilbert space formulation of quantum mechanics.

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