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1. Isomorphism theorems: In mathematics, specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship between quotients, homomorphisms, and subobjects. Versions of the theorems exist for groups, rings, vector spaces, modules, Lie algebras, and ... (Group of mathematical theorems) [100%] 2024-01-26 [Isomorphism theorems]
2. Isomorphism theorems: In mathematics, specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship between quotients, homomorphisms, and subobjects. Versions of the theorems exist for groups, rings, vector spaces, modules, Lie algebras, and ... (Group of mathematical theorems) [100%] 2023-10-07 [Isomorphism theorems]

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1. Isomorphism: In abstract algebra, an isomorphism (Greek: ison "equal", and morphe "shape") is a bijective map f such that both f and its inverse f are homomorphisms, i.e., structure-preserving mappings. In the more general setting of category theory, an ... [81%] 2023-06-01 [Functions and mappings] [Abstract algebra]...
2. Isomorphism (crystallography): In chemistry, isomorphism has meanings both at the level of crystallography and at a molecular level. In crystallography, compounds are isomorphous if their symmetry is the same and their unit cell parameters are similar Molecules are isomorphous if they have ... (Physics) [81%] 2023-11-09 [Crystallography]
3. Isomorphism: In mathematics, an isomorphism is a structure-preserving mapping between two structures of the same type that can be reversed by an inverse mapping. Two mathematical structures are isomorphic if an isomorphism exists between them. (In mathematics, invertible homomorphism) [81%] 2024-02-08 [Morphisms] [Equivalence (mathematics)]...
4. Isomorphism: An isomorphism is a correspondence (relation) between objects or systems of objects expressing the equality of their structures in some sense. An isomorphism in an arbitrary category is an invertible morphism, that is, a morphism $\def\phi{\varphi}\phi$ for ... (Mathematics) [81%] 2023-02-08
5. Isomorphism: In mathematics, an isomorphism is a structure-preserving mapping between two structures of the same type that can be reversed by an inverse mapping. Two mathematical structures are isomorphic if an isomorphism exists between them. (In mathematics, invertible homomorphism) [81%] 2023-10-31 [Morphisms] [Equivalence (mathematics)]...
6. 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. The theorem states that given any field \displaystyle{ F }[/math], an algebraic extension field ... [76%] 2022-11-06 [Field (mathematics)] [Theorems in abstract algebra]...
7. Ornstein isomorphism theorem: In mathematics, the Ornstein isomorphism theorem is a deep result in ergodic theory. It states that if two Bernoulli schemes have the same Kolmogorov entropy, then they are isomorphic. [76%] 2023-12-14 [Ergodic theory]
8. Ornstein isomorphism theorem: Ergodic theory, the study of measure-preserving transformations or flows, arose from the study of the long-term statistical behaviour of dynamical systems (cf. also Measure-preserving transformation; Flow (continuous-time dynamical system); Dynamical system). (Mathematics) [76%] 2023-10-13
9. Almgren isomorphism theorem: Almgren isomorphism theorem is a result in geometric measure theory and algebraic topology about the topology of the space of flat cycles in a Riemannian manifold. The theorem plays a fundamental role in the Almgren–Pitts min-max theory as ... [76%] 2024-05-05 [Theorems in algebraic topology]
10. Isomorphisme (chimie): Pour les articles homonymes, voir Isomorphisme et Isomorphisme institutionnel. En chimie du solide, l'isomorphisme ou isomorphotropie est la faculté de composés différents de cristalliser avec des mailles de même symétrie et dont les paramètres sont proches, ce qui leur permet ... (Chimie) [74%] 2024-04-12
11. Keisler-Shelah isomorphism theorem: Interpretations for a first-order language $ L $ are said to be elementarily equivalent (in $ L $) provided that they make exactly the same sentences in $ L $ true (cf. also Interpretation). (Mathematics) [66%] 2023-10-23
12. Uniform isomorphism: In the mathematical field of topology a uniform isomorphism or uniform homeomorphism is a special isomorphism between uniform spaces that respects uniform properties. Uniform spaces with uniform maps form a category. (Uniformly continuous homeomorphism) [57%] 2023-05-26 [Homeomorphisms] [Uniform spaces]...
13. Order isomorphism: between partially ordered sets A bijection that is also an order-preserving mapping. Order isomorphic sets are said to have the same order type, although this term is often restricted to linearly ordered sets. (Mathematics) [57%] 2023-12-03
14. Musical isomorphism: In mathematics—more specifically, in differential geometry—the musical isomorphism (or canonical isomorphism) is an isomorphism between the tangent bundle \displaystyle{ \mathrm{T}M }[/math] and the cotangent bundle \displaystyle{ \mathrm{T}^* M }[/math] of a pseudo-Riemannian manifold induced ... [57%] 2023-03-09 [Differential geometry] [Riemannian geometry]...
15. Potential isomorphism: In mathematical logic and in particular in model theory, a potential isomorphism is a collection of finite partial isomorphisms between two models which satisfies certain closure conditions. Existence of a partial isomorphism entails elementary equivalence, however the converse is not ... [57%] 2024-01-06 [Model theory]
16. 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 considered to ... (Equivalence of partially ordered sets) [57%] 2023-03-30 [Morphisms] [Order theory]...
17. Metric isomorphism: of two measure spaces and ; also "strict isomorphism" or "point isomorphism" A bijective mapping for which images and inverse images of measurable sets are measurable and have the same measure (here is some Boolean -algebra or -ring of subsets of ... (Mathematics) [57%] 2023-10-26 [Classical measure theory]
18. Structural isomorphism: An obsolete name for a lattice isomorphism, cf. Subalgebra lattice. (Mathematics) [57%] 2023-10-28