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- Invariant_factor abstract "The invariant factors of a module over a principal ideal domain (PID) occur in one form of the structure theorem for finitely generated modules over a principal ideal domain.If is a PID and a finitely generated -module, thenfor some integer and a (possibly empty) list of nonzero elements for which . The nonnegative integer is called the free rank or Betti number of the module , while are the invariant factors of and are unique up to associatedness.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.".
- Invariant_factor wikiPageID "9886801".
- Invariant_factor wikiPageRevisionID "586151821".
- Invariant_factor hasPhotoCollection Invariant_factor.
- Invariant_factor subject Category:Module_theory.
- Invariant_factor comment "The invariant factors of a module over a principal ideal domain (PID) occur in one form of the structure theorem for finitely generated modules over a principal ideal domain.If is a PID and a finitely generated -module, thenfor some integer and a (possibly empty) list of nonzero elements for which .".
- Invariant_factor label "Invariant factor".
- Invariant_factor sameAs m.02pvycb.
- Invariant_factor sameAs Q6059514.
- Invariant_factor sameAs Q6059514.
- Invariant_factor wasDerivedFrom Invariant_factor?oldid=586151821.
- Invariant_factor isPrimaryTopicOf Invariant_factor.