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 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.
Read more about Structure Theorem For Finitely Generated Modules Over A Principal Ideal Domain: Statement, Proofs, Corollaries, Uniqueness
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