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- Latimer–MacDuffee_theorem abstract "The Latimer–MacDuffee theorem is a theorem in abstract algebra, a branch of mathematics. Let be a monic, irreducible polynomial of degree . The Latimer–MacDuffee theorem gives a one-to-one correspondence between -similarity classes of matrices with characteristic polynomial and the ideal classes in the orderwhere ideals are considered equivalent if they are equal up to an overall (nonzero) rational scalar multiple. (Note that this order need not be the full ring of integers, so nonzero ideals need not be invertible.) Since an order in a number field has only finitely many ideal classes (even if it is not the maximal order, and we mean here ideals classes for all nonzero ideals, not just the invertible ones), it follows that there are only finitely many conjugacy classes of matrices over the integers with characteristic polynomial .".
- Latimer–MacDuffee_theorem wikiPageID "5647547".
- Latimer–MacDuffee_theorem wikiPageRevisionID "577999122".
- Latimer–MacDuffee_theorem subject Category:Theorems_in_abstract_algebra.
- Latimer–MacDuffee_theorem comment "The Latimer–MacDuffee theorem is a theorem in abstract algebra, a branch of mathematics. Let be a monic, irreducible polynomial of degree . The Latimer–MacDuffee theorem gives a one-to-one correspondence between -similarity classes of matrices with characteristic polynomial and the ideal classes in the orderwhere ideals are considered equivalent if they are equal up to an overall (nonzero) rational scalar multiple.".
- Latimer–MacDuffee_theorem label "Latimer–MacDuffee theorem".
- Latimer–MacDuffee_theorem sameAs Latimer%E2%80%93MacDuffee_theorem.
- Latimer–MacDuffee_theorem sameAs Q6496164.
- Latimer–MacDuffee_theorem sameAs Q6496164.
- Latimer–MacDuffee_theorem wasDerivedFrom Latimer–MacDuffee_theorem?oldid=577999122.