up to isomorphism

См. также в других словарях:

• Isomorphism (disambiguation) — Isomorphism may refer to:* Isomorphism, in mathematics, a mapping that preserves the structure * Group isomorphism, in mathematics, a mapping that preserves the group structure * Ring isomorphism, in mathematics, a mapping that preserves both the …   Wikipedia

• Isomorphism — I so*mor phism, n. [Cf. F. isomorphisme.] 1. (Crystallog.) A similarity of crystalline form between substances of similar composition, as between the sulphates of barium ({BaSO4}) and strontium ({SrSO4}). It is sometimes extended to include… …   The Collaborative International Dictionary of English

• isomorphism — from Ger. Isomorphismus, 1828, coined by German chemist Eilhard Mitscherlich (1794 1863) from isomorph; see ISOMORPHIC (Cf. isomorphic). Related: Isomorph …   Etymology dictionary

• isomorphism — [ī΄sō môr′fiz΄əm, ī΄sə môr′fiz΄əm] n. [< ISOMORPHIC + ISM] 1. Biol. a similarity in appearance or structure of organisms belonging to different species or races 2. Chem. an identity or close similarity in the crystalline form of substances… …   English World dictionary

• 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

• 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 class — An isomorphism class is a collection of mathematical objects isomorphic with a certain mathematical object. A mathematical object usually consists of a set and some mathematical relations and operations defined over this set.Isomorphism classes… …   Wikipedia

• Isomorphism (sociology) — For other uses of isomorphism, see isomorphism (disambiguation). In sociology, an isomorphism is a similarity of the processes or structure of one organization to those of another, be it the result of imitation or independent development under… …   Wikipedia

• Isomorphism extension theorem — In field theory, a branch of mathematics, the isomorphism extension theorem is an important theorem regarding the extension of a field isomorphism to a larger field. Isomorphism extension theorem The theorem states that given any field F, an… …   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

• Isomorphism (biology) — For other uses of isomorphism, see isomorphism (disambiguation). In biology, an isomorphism is a similarity of form or structure between organisms. The term isomorphism is borrowed from mathematical usage, where it refers to a one to one mapping… …   Wikipedia