Finitely generated abelian groups and similarity of matrices over a field

At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common.  However, reduction to Smith normal form, named after its originator H.J.S.Smith in 1861, is a matrix version of the Euclidean algorithm and is exactly what the theory requires in both...

Cur síos iomlán

Sábháilte in:
Sonraí bibleagrafaíochta
Príomhchruthaitheoir: Norman, Christopher
Formáid: Livre numérique
Teanga:Anglais
Foilsithe / Cruthaithe: London : Springer London [20..].
Cham : Springer Nature
Eagrán:1st ed. 2012.
Sraith:Springer Undergraduate Mathematics Series
Ábhair:
Rochtain ar líne:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nóta: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Finitely Generated Abelian Groups and Similarity of Matrices over a Field, Texte imprimé, 9781447127291
Clár na nÁbhar:
  • Part 1 :Finitely Generated Abelian Groups: Matrices with Integer Entries: The Smith Normal Form Basic Theory of Additive Abelian Groups Decomposition of Finitely Generated  Z-Modules. Part 2: Similarity of Square Matrices over a Field: The Polynomial Ring F[x] and Matrices over F[x]- F[x] Modules: Similarity of t xt Matrices over a Field F Canonical Forms and Similarity Classes of Square Matrices over a Field.