- isomorphism condition
- мат.условие изоморфизма
English-Russian scientific dictionary. 2008.
isomorphism condition
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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
Isomorphism-closed subcategory — A subcategory mathcal{A} of a category mathcal{B} is said to be isomorphism closed or replete if every mathcal{B} isomorphism h:A o B with Ainmathcal{A} belongs to mathcal{A}. This implies that both B and h^{ 1}:B o A belong to mathcal{A} as well … Wikipedia
isomorphism — Similarity of form between two or more organisms or between parts of the body. [iso + G. morphe, shape] * * * iso·mor·phism .i sə mȯr .fiz əm n 1) similarity in organisms of different ancestry resulting from evolutionary convergence 2)… … Medical dictionary
isomorphism — n. the condition of two or more objects being alike in shape or structure. It can exist at any structural level, from molecules to whole organisms. Derivatives: isomorphic, isomorphous adj … The new mediacal dictionary
Ore condition — In mathematics, especially in the area of algebra known as ring theory, the Ore condition is a condition introduced by Øystein Ore, in connection with the question of extending beyond commutative rings the construction of a field of fractions, or … Wikipedia
Affine connection — An affine connection on the sphere rolls the affine tangent plane from one point to another. As it does so, the point of contact traces out a curve in the plane: the development. In the branch of mathematics called differential geometry, an… … Wikipedia
Cartan connection — In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the … Wikipedia
Sheaf (mathematics) — This article is about sheaves on topological spaces. For sheaves on a site see Grothendieck topology and Topos. In mathematics, a sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space.… … Wikipedia
Splitting lemma — In mathematics, and more specifically in homological algebra, the splitting lemma states that in any abelian category, the following statements for short exact sequence are equivalent. Given a short exact sequence with maps q and r: :0 ightarrow… … Wikipedia
Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… … Wikipedia
Clifford algebra — In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions.[1][2] The theory of Clifford algebras is intimately connected with the… … Wikipedia
