- inverse isomorphism
- мат.обратный изоморфизм
English-Russian scientific dictionary. 2008.
inverse isomorphism
Смотреть что такое "inverse isomorphism" в других словарях:
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
Inverse function theorem — In mathematics, specifically differential calculus, the inverse function theorem gives sufficient conditions for a function to be invertible in a neighborhood of a point in its domain. The theorem also gives a formula for the derivative of the… … Wikipedia
Isomorphism of categories — In category theory, two categories C and D are isomorphic if there exist functors F : C rarr; D and G : D rarr; C which are mutually inverse to each other, i.e. FG = 1 D (the identity functor on D ) and GF = 1 C . This means that both the objects … Wikipedia
Inverse limit — In mathematics, the inverse limit (also called the projective limit) is a construction which allows one to glue together several related objects, the precise manner of the gluing process being specified by morphisms between the objects. Inverse… … Wikipedia
isomorphism — noun a) the similarity in form of organisms of different ancestry b) A bijection f such that both f and its inverse f are homomorphisms, that is, structure preserving mappings. See Also: isomorphic, isomorphous … Wiktionary
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
Musical isomorphism — In mathematics, the musical isomorphism (or canonical isomorphism) is an isomorphism between the tangent bundle TM and the cotangent bundle T*M of a Riemannian manifold given by its metric. There are similar isomorphisms on symplectic manifolds.… … Wikipedia
Uniform isomorphism — In the mathematical field of topology a uniform isomorphism or uniform homeomorphism is a special isomorphism between uniform spaces which respects uniform properties. DefinitionA function f between two uniform spaces X and Y is called a uniform… … Wikipedia
Order isomorphism — In the mathematical field of order theory an order isomorphism is a special kind of monotone function that constitutes a suitable notion of isomorphism for partially ordered sets (posets). Whenever two posets are order isomorphic, they can be… … Wikipedia
Chinese remainder theorem — The Chinese remainder theorem is a result about congruences in number theory and its generalizations in abstract algebra. In its most basic form it concerned with determining n, given the remainders generated by division of n by several numbers.… … Wikipedia
Linear functional — This article deals with linear maps from a vector space to its field of scalars. These maps may be functionals in the traditional sense of functions of functions, but this is not necessarily the case. In linear algebra, a linear functional… … Wikipedia
