Concept information
Preferred term
structure theorem for finitely generated modules over a principal ideal domain
Definition(s)
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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)
Broader concept(s)
In other languages
URI
http://data.loterre.fr/ark:/67375/PSR-DP82M6RV-J
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