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Concept information

algebra > abstract algebra > algebraic structure > ring theory > structure theorem for finitely generated modules over a principal ideal domain
algebra > linear algebra > structure theorem for finitely generated modules over a principal ideal domain

Terme préférentiel

structure theorem for finitely generated modules over a principal ideal domain  

Définition

  • In mathematics, in the field of abstract algebra, the structure theorem for finitely generated modules over a principal ideal domain is a generalization of the fundamental theorem of finitely generated abelian groups and roughly states that finitely generated modules over a principal ideal domain (PID) can be uniquely decomposed in much the same way that integers have a prime factorization. The result provides a simple framework to understand various canonical form results for square matrices over fields.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain)

Concept générique

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URI

http://data.loterre.fr/ark:/67375/PSR-DP82M6RV-J

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