- associative algebra
- ассоциативная алгебра
English-Russian dictionary of technical terms. 2014.
associative algebra
Смотреть что такое "associative algebra" в других словарях:
Associative algebra — In mathematics, an associative algebra is a vector space (or more generally, a module) which also allows the multiplication of vectors in a distributive and associative manner. They are thus special algebras. Definition An associative algebra A… … Wikipedia
Non-associative algebra — This article is about a particular non associative structure known as a non associative algebra. See also the article about non associativity in general. A non associative algebra[1] (or distributive algebra) over a field (or a ring) K is a K… … Wikipedia
Commutant-associative algebra — In abstract algebra, a commutant associative algebra is a nonassociative algebra over a field whose multiplication satisfies the following axiom: ([A1,A2],[A3,A4],[A5,A6]) = 0, where [A, B] = AB − BA is the commutator of… … Wikipedia
Example of a non-associative algebra — This page presents and discusses an example of a non associative division algebra over the real numbers.The multiplication is defined by taking the complex conjugate of the usual multiplication: a*b=overline{ab}. This is a commutative, non… … Wikipedia
Algebra (disambiguation) — Algebra is a branch of mathematics.Algebra may also mean: * elementary algebra * abstract algebra * linear algebra * universal algebra * computer algebraIn addition, many mathematical objects are known as algebras. * In logic: ** Boolean algebra… … Wikipedia
power-associative algebra — noun An algebra such that every subalgebra generated by one element is associative … Wiktionary
Algebra over a field — This article is about a particular kind of vector space. For other uses of the term algebra , see algebra (disambiguation). In mathematics, an algebra over a field is a vector space equipped with a bilinear vector product. That is to say, it is… … Wikipedia
Associative property — This article is about associativity in mathematics. For associativity in the central processor unit memory cache, see CPU cache. For associativity in programming languages, see operator associativity. In mathematics, associativity is a property… … Wikipedia
Algebra (ring theory) — In mathematics, specifically in ring theory, an algebra over a commutative ring is a generalization of the concept of an algebra over a field, where the base field K is replaced by a commutative ring R .Any ring can be thought of as an algebra… … Wikipedia
*-algebra — * ring= In mathematics, a * ring is an associative ring with a map * : A rarr; A which is an antiautomorphism, and an involution.More precisely, * is required to satisfy the following properties: * (x + y)^* = x^* + y^* * (x y)^* = y^* x^* * 1^* … Wikipedia
Algebra representation — In abstract algebra, a representation of an associative algebra is a module for that algebra. Here an associative algebra is a (not necessarily unital) ring. If the algebra is not unital, it may be made so in a standard way (see the adjoint… … Wikipedia
