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Related Articles From Wikipedia
dedekind domain wikipedia the free encyclopedia
However, it follows from (M3PID) that a finitely generated torsionfree module P over a PID is free. In particular, it asserts that all fractional ideals are principal, a statement - Read more...
unique factorization domain wikipedia the free encyclopedia
The formal power series ring K [[X 1,, X n]] over a field K (or more generally over a PID but not over a UFD). The ring of functions in a fixed number of complex variables holomorphic at - Read more...
elementary divisors wikipedia the free encyclopedia
The elementary divisors of a matrix over a PID occur in the Smith normal form and provide a means of computing the structure of a module from a set of generators and relations. - Read more...
smith normal form wikipedia the free encyclopedia
The Smith normal form is very useful for working with finitely generated modules over a PID, and in particular for deducing the structure of a quotient of a free module. - Read more...
invariant factor wikipedia the free encyclopedia
The invariant factors of a matrix over a PID occur in the Smith normal form and provide a means of computing the structure of a module from a set of generators and relations. - Read more...
