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Concept information

algebra > group theory > isomorphism theorem
category theory > morphism > isomorphism > isomorphism theorem
algebra > abstract algebra > morphism > isomorphism > isomorphism theorem

Terme préférentiel

isomorphism theorem  

Définition

  • 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 various other algebraic structures. In universal algebra, the isomorphism theorems can be generalized to the context of algebras and congruences.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Isomorphism_theorems)

Concept générique

Synonyme(s)

  • Noether's isomorphism theorem

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-SH9V3HKL-F

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RDF/XML TURTLE JSON-LD Date de création 28/07/2023, dernière modification le 28/07/2023