- Abelian algebra
- абелева алгебра
English-russian dictionary of physics. 2013.
Abelian algebra
Смотреть что такое "Abelian algebra" в других словарях:
abelian — adjective Having a commutative defining operation. See Also: abelian algebra, abelian group, abelian operation, abelian ring … Wiktionary
Abelian — Abelian, in mathematics, is used in many different definitions, named after Norwegian mathematician Niels Henrik Abel:In group theory:*Abelian group, a group in which the binary operation is commutative **Category of abelian groups Ab has abelian … Wikipedia
Abelian von Neumann algebra — In functional analysis, an Abelian von Neumann algebra is a von Neumann algebra of operators on a Hilbert space in which all elements commute. The prototypical example of an abelian von Neumann algebra is the algebra L^infty(X,mu) for μ a σ… … Wikipedia
Algebra — This article is about the branch of mathematics. For other uses, see Algebra (disambiguation). Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from… … Wikipedia
Abelian group — For other uses, see Abelian (disambiguation). Abelian group is also an archaic name for the symplectic group Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product,… … Wikipedia
Abelian category — In mathematics, an abelian category is a category in which morphisms and objects can be added and in which kernels and cokernels exist and have desirable properties. The motivating prototype example of an abelian category is the category of… … 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, modern — ▪ mathematics Introduction also called abstract algebra branch of mathematics concerned with the general algebraic structure of various sets (such as real numbers (real number), complex numbers (complex number), matrices (matrix), and… … Universalium
Abelian extension — In abstract algebra, an abelian extension is a Galois extension whose Galois group is abelian. When the Galois group is a cyclic group, we have a cyclic extension. More generally, a Galois extension is called solvable if its Galois group is… … Wikipedia
Abelian and tauberian theorems — In mathematics, abelian and tauberian theorems relate to the meaningful assignment of a value as the sum of a class of divergent series. A large number of methods have been proposed for the summation of such series, generally taking the form of… … Wikipedia
Affine Lie algebra — In mathematics, an affine Lie algebra is an infinite dimensional Lie algebra that is constructed in a canonical fashion out of a finite dimensional simple Lie algebra. It is a Kac–Moody algebra whose generalized Cartan matrix is positive semi… … Wikipedia
