- n-ary operation
- мат.n-арная операция
English-Russian scientific dictionary. 2008.
n-ary operation
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Operation (mathematics) — The general operation as explained on this page should not be confused with the more specific operators on vector spaces. For a notion in elementary mathematics, see arithmetic operation. In its simplest meaning in mathematics and logic, an… … Wikipedia
Operation theory — In logic and mathematics, a finitary operation ω is a function of the form ω : X1 × … × Xk → Y. The sets Xj are the called the domains of the operation, the set Y is called the codomain of the operation, and the fixed non negative integer k… … Wikipedia
operation — An operation on a set S is a function associating some number of elements of S with a resulting element. If the resulting element is also always in S, then S is closed under the operation. An n ary (unary, binary etc.) operation associates n… … Philosophy dictionary
n-ary group — In mathematics, an n ary group (also n group, polyadic group or multiary group) is a generalization of a group to a set G with a n ary operation instead of a binary operation.[1] The axioms for an n ary group are defined in such a way as to… … Wikipedia
Ternary operation — In mathematics, a ternary operation is an n ary operation with n = 3. A ternary operation on a set A takes any given three elements of A and combines them to form a single element of A. An example of a ternary operation is the product in a… … Wikipedia
Boolean algebras canonically defined — Boolean algebras have been formally defined variously as a kind of lattice and as a kind of ring. This article presents them more neutrally but equally formally as simply the models of the equational theory of two values, and observes the… … Wikipedia
Quasigroup — In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that division is always possible. Quasigroups differ from groups mainly in that they need not be associative. A quasigroup with … Wikipedia
Operad theory — is a field of abstract algebra concerned with prototypical algebras that model properties such as commutativity or anticommutativity as well as various amounts of associativity. Operads generalize the various associativity properties already… … Wikipedia
Semigroup — This article is about the algebraic structure. For applications to differential equations, see C0 semigroup. In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation. A semigroup… … Wikipedia
Boolean algebra (logic) — For other uses, see Boolean algebra (disambiguation). Boolean algebra (or Boolean logic) is a logical calculus of truth values, developed by George Boole in the 1840s. It resembles the algebra of real numbers, but with the numeric operations of… … Wikipedia
Universal algebra — (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ( models ) of algebraic structures.For instance, rather than take particular groups as the object of study, in universal… … Wikipedia
