abstract isomorphism

мат.
абстрактный изоморфизм

English-Russian scientific dictionary. 2008.

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  • Abstract analytic number theory — is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to a variety of different mathematical fields. The classical prime number theorem serves as a prototypical example, and the… …   Wikipedia

  • Isomorphism — In abstract algebra, an isomorphism (Greek: ἴσος isos equal , and μορφή morphe shape ) is a bijective map f such that both f and its inverse f −1 are homomorphisms, i.e., structure preserving mappings.In the more general setting of category… …   Wikipedia

  • Isomorphism theorem — In mathematics, specifically abstract algebra, the isomorphism theorems are three theorems that describe the relationship between quotients, homomorphisms, and subobjects. Versions of the theorems exist for groups, rings, vector spaces, modules,… …   Wikipedia

  • Abstract algebra — This article is about the branch of mathematics. For the Swedish band, see Abstrakt Algebra. The permutations of Rubik s Cube have a group structure; the group is a fundamental concept within abstract algebra. Abstract algebra is the subject area …   Wikipedia

  • Abstract Wiener space — An abstract Wiener space is a mathematical object in measure theory, used to construct a decent (strictly positive and locally finite) measure on an infinite dimensional vector space. It is named after the American mathematician Norbert Wiener.… …   Wikipedia

  • List of abstract algebra topics — Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. The phrase abstract algebra was coined at the turn of the 20th century to distinguish this …   Wikipedia

  • Group isomorphism — In abstract algebra, a group isomorphism is a function between two groups that sets up a one to one correspondence between the elements of the groups in a way that respects the given group operations. If there exists an isomorphism between two… …   Wikipedia

  • Group isomorphism problem — In abstract algebra, the group isomorphism problem is the decision problem of determining whether two group presentations present isomorphic groups.The isomorphism problem was identified by Max Dehn in 1911 as one of three fundamental decision… …   Wikipedia

  • Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …   Wikipedia

  • Curry–Howard correspondence — A proof written as a functional program: the proof of commutativity of addition on natural numbers in the proof assistant Coq. nat ind stands for mathematical induction, eq ind for substitution of equals and f equal for taking the same function… …   Wikipedia

  • Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

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