- Jordan algebra
- йорданова алгебра
English-russian dictionary of physics. 2013.
Jordan algebra
Смотреть что такое "Jordan algebra" в других словарях:
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
Jordan-Algebra — In der Mathematik heißt eine kommutative Algebra A eine Jordan Algebra, wenn für alle x,y aus A die sog. Jordan Identität x(x2y) = x2(xy) erfüllt ist. Eine alternative Definition ist x − 1(xy) = x(x − 1y) (x,y aus A, x invertierbar). D.h., A ist… … Deutsch Wikipedia
Jordan (disambiguation) — Jordan is a country in the Middle East.Jordan may also refer to: Middle Eastern geography * Jordan, Tehran * Jordan River United States geography * Jordan, Indiana * Jordan, Iowa * Jordan, Minnesota, a city in Scott County * Jordan, Minneapolis,… … Wikipedia
Algebra (Begriffsklärung) — Algebra bezeichnet in der Mathematik: Algebra, ein Teilgebiet der Mathematik mit den weiteren Teilgebieten Elementare Algebra Abstrakte Algebra Lineare Algebra Kommutative Algebra Universelle Algebra Computeralgebra Außerdem bezeichnet man mit… … Deutsch 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 de Jordan — En álgebra abstracta, el álgebra de Jordan es un álgebra sobre un cuerpo (no necesariamente asociativa) cuya multiplicación satisface los siguientes axiomas: xy = yx (ley conmutativa) (xy)(xx) = x(y(xx)) (Identidad de Jordan). El producto de los… … Wikipedia Español
Algebra — Aryabhata I … Deutsch 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
Jordan normal form — In linear algebra, a Jordan normal form (often called Jordan canonical form)[1] of a linear operator on a finite dimensional vector space is an upper triangular matrix of a particular form called Jordan matrix, representing the operator on some… … Wikipedia
algebra — /al jeuh breuh/, n. 1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations. 2. any of… … Universalium
Álgebra sobre un cuerpo — En matemáticas, un álgebra sobre un cuerpo K, o una K álgebra, es un espacio vectorial A sobre K equipado con una noción compatible de multiplicación de elementos de A. Una generalización directa admite que K sea cualquier anillo conmutativo.… … Wikipedia Español
