- nonassociative algebra
- мат. неассоциативная алгебра
Большой англо-русский и русско-английский словарь. 2001.
nonassociative algebra
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Nonassociative ring — In abstract algebra, a nonassociative ring is a generalization of the concept of ring. A nonassociative ring is a set R with two operations, addition and multiplication, such that: R is an abelian group under addition: a + b = b + a (a + b) + c … Wikipedia
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
Álgebra no asociativa — Las álgebras no asociativas son álgebras que aplican específicamente a estructuras matemáticas (como cuerpos u anillos) en las cuales la propiedad de asociatividad no se define o no se cumple, es decir: las operaciones y no tienen necesariamente… … Wikipedia Español
Jordan algebra — In mathematics, a Jordan algebra is defined in abstract algebra as a (usually nonassociative) algebra over a field with multiplication satisfying the following axioms:# xy = yx (commutative law) # (xy)(xx) = x(y(xx)) (Jordan identity)The product… … Wikipedia
Octonion algebra — In mathematics, an octonion algebra over a field F is an algebraic structure which is an 8 dimensional composition algebra over F. In other words, it is a unital nonassociative algebra A over F with a nondegenerate quadratic form N (called the… … 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
Alternative algebra — In abstract algebra, an alternative algebra is an algebra in which multiplication need not be associative, only alternative. That is, one must have *x(xy) = (xx)y *(yx)x = y(xx)for all x and y in the algebra. Every associative algebra is… … Wikipedia
Malcev algebra — For the Lie algebras or groups, see Malcev Lie algebra. In mathematics, a Malcev algebra (or Maltsev algebra or Moufang–Lie algebra) over a field is a nonassociative algebra that is antisymmetric, so that and satisfies the Malcev identity They… … Wikipedia
Monster vertex algebra — The monster vertex algebra is a vertex algebra acted on by the monster group that was constructed by Igor Frenkel, James Lepowsky, and Arne Meurman. R. Borcherds used it to prove the monstrous moonshine conjectures, by applying the no ghost… … Wikipedia
Magma (algebra) — In abstract algebra, a magma (or groupoid; not to be confused with groupoids in category theory) is a basic kind of algebraic structure. Specifically, a magma consists of a set M equipped with a single binary operation . A binary operation is… … 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
