boolean latticeの例文

例文

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1. His work in measure theory led him to an interest in abstract Boolean lattices.
2. Accordingly, the subclass relation makes the collection of all classes into a Boolean lattice, which the subset relation does not do for the collection of all sets.
3. Those elements of a Heyting algebra of the form ?" a " comprise a Boolean lattice, but in general this is not a subalgebra of H ( see below ).
4. Examples 4 and 5 are Boolean algebras, which can be interpreted either as a special kind of ring ( a Boolean ring ) or a special kind of distributive lattice ( a Boolean lattice ).
5. Therefore, by applying this operation to a Boolean algebra ( or Boolean lattice ), one obtains another Boolean algebra with the same elements; it is called its "'dual " '.