# finitary operation in a sentence

- The maximal such algebra consists of all
*finitary operations* on { 0, 1 }. - In algebra, one often studies infinite algebras which are generated ( under the
*finitary operations* of the algebra ) by finitely many elements. - 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. - *PM : closure of sets closed under a
*finitary operation*, id = 9349 new !-- WP guess : closure of sets closed under a finitary operation-- Status: - *PM : closure of sets closed under a finitary operation, id = 9349 new !-- WP guess : closure of sets closed under a
*finitary operation*-- Status: - It's difficult to find
*finitary operation* in a sentence. - 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. - 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. - 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.