# finitary operation in a sentence

1. The maximal such algebra consists of all finitary operations on { 0, 1 }.
2. In algebra, one often studies infinite algebras which are generated ( under the finitary operations of the algebra ) by finitely many elements.
3. These can be understood as the finitary operations, with the first period of such a sequence giving the truth table of the operation it represents.
4. *PM : closure of sets closed under a finitary operation, id = 9349 new !-- WP guess : closure of sets closed under a finitary operation-- Status:
5. *PM : closure of sets closed under a finitary operation, id = 9349 new !-- WP guess : closure of sets closed under a finitary operation-- Status:
6. It's difficult to find finitary operation in a sentence.
7. Example 6, and hence Example 5, constitutes the free Boolean algebra on countably many generators, meaning the Boolean algebra of all finitary operations on a countably infinite set of generators or variables.
8. Although we are here indexing the operations of a Boolean algebra by the finitary operations on { 0, 1 }, the truth-table presentation above serendipitously orders the operations first by arity and second by the layout of the tables for each arity.
9. In mathematics, and more specifically in abstract algebra, an "'algebraic structure "'is a set ( called "'carrier set "'or "'underlying set "') with one or more finitary operations defined on it that satisfies a list of axioms.

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