Definitions from Wikipedia (Structure theorem for finitely generated modules over a principal ideal domain)

▸ noun:  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 can be uniquely decomposed in much the same way that integers have a prime factorization.


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