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An '''orthomodular lattice''' is an ] <math>L</math> that satisfies the following condition for all <math>x, y \in L</math>: | |||
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:If <math>x \leq y</math> then <math> y = x \cup (y \cap x^\perp)</math> | |||
Lattices of this form are of crucial importance for the study of ], since they are part of the axiomisation of the ] ] of ]. | |||
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{{algebra-stub}} |
Latest revision as of 09:29, 13 May 2009
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