Examples of 'boolean algebras' in a sentence
Meaning of "boolean algebras"
boolean algebras: Boolean algebras are mathematical structures that generalize classical algebraic systems. They are particularly important in the field of computer science and logic, where they are used to represent and manipulate true/false or on/off states
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- plural of Boolean algebra
How to use "boolean algebras" in a sentence
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boolean algebras
Heyting algebras are a special example of boolean algebras.
In the case of Boolean algebras the answer is yes.
Fields of sets play an essential role in the representation theory of Boolean algebras.
It is mathematically possible to derive boolean algebras which have more than two states.
For infinite Boolean algebras the notion of ultrafilter becomes considerably more delicate.
Axioms for lattices and boolean algebras.
All finite Boolean algebras are complete.
These are precisely the spaces that are homeomorphic to the Stone spaces of Boolean algebras.
The operation of complement in Boolean algebras is an involution.
Notable classes and examples of partial orders include lattices and Boolean algebras.
Monadic Boolean algebras form a variety.
Tarski proved that the theory of Boolean algebras is decidable.
A powerful and nontrivial metatheorem states that any theorem of 2 holds for all Boolean algebras.
These were originally proved by considering Boolean algebras and applying Stone duality.
The Boolean prime ideal theorem is the strong prime ideal theorem for Boolean algebras.
See also
Prove that the direct product of two Boolean algebras is a Boolean algebra.
Examples of relational algebras include semilattices, lattices, and Boolean algebras.
Lectures on Boolean algebras.
Thus one obtains Stone 's representation theorem for Boolean algebras.
Examples of Boolean algebras.
Boolean algebras are Stone algebras, and Stone algebras are Ockham algebras.
Gaifman and Hales independently showed that infinite free complete Boolean algebras do not exist.
By Stone 's representation theorem for Boolean algebras there is a natural dual notion to this.
On collections of subsets containing 4-member Boolean algebras.
Introduction to Boolean algebras.
Weakly dicomplemented lattices generalize distributive orthocomplemented lattices, i.e. Boolean algebras.
Axiomatization of Boolean algebras.
Examples 6 and 7 are distributive lattices which are not Boolean algebras.
More specific complete lattices are complete Boolean algebras and complete Heyting algebras ( locales ).
This theorem is a well-known fact for Boolean algebras.
An example is given by the correspondence between Boolean algebras and Boolean rings.
Andrzej Mostowski, " Groups connected with Boolean algebras.
The weak prime ideal theorem for Boolean algebras simply states,.
Nearly all well-known algebraic structures other than Boolean algebras are undecidable.
There are many known bases for all Boolean algebras and hence for 2.
For instance, involutive negation characterizes Boolean algebras among Heyting algebras.
Thus the following ( strong ) maximal ideal theorem ( MIT ) for Boolean algebras is equivalent to BPI,.
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Examples of using Boolean
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See converting to boolean for more information
Boolean content does not match pattern facet
Check if argument is a boolean and not a number
Examples of using Algebras
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Interior algebras form a variety of modal algebras
Preorders may be used to define interior algebras
Clifford algebras are closely related to exterior algebras
