Finite Rank Torsion Free Abelian Groups and Rings

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Detalhes bibliográficos
Autor principal: Arnold, David M., 1939-2021
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Colecção:Lecture notes in mathematics 931
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Accès Université d'Orléans
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Finite rank torsion free abelian groups and rings, David M. Arnold, 1982, Berlin [etc.], Springer, 1 vol. (VI-191 p.), Lecture notes in mathematics, 3-540-11557-9
• Finite Rank Torsion Free Abelian Groups and Rings, Texte imprimé, 9783662164129
Sumário:
  • Notation and preliminaries
  • Types and rank 1 groups
  • Examples of indecomposable groups and direct sums
  • Endomorphism rings and decompositions of rank 2 groups
  • Pure subgroups of completely decomposable groups
  • Homogeneous completely decomposable groups and generalizations
  • Completely decomposable groups and generalizations
  • Additive categories, quasi-isomorphism and near-isomorphism
  • Stable range, substitution, cancellation, and exchange properties
  • Subrings of finite dimensional Q-algebras
  • Orders in finite dimensional simple Q-algebras
  • Maximal orders in finite dimensional simple Q-algebras
  • Near isomorphism and genus class
  • Grothendieck groups
  • Additive groups of subrings of finite dimensional Q-algebras
  • Q-simple and p-simple groups.