Basic Notions of Algebra

From the reviews: "This is one of the few mathematical books, the reviewer has read from cover to cover ... The main merit is that nearly on every page you will find some unexpected insights..." Zentralblatt für Mathematik und Ihre Grenzgebiete, 1991 "...which I read like a novel and...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Shafarevich, Igor R. (Autor, Editor )
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Kostrikin, Aleksej I. (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Encyclopaedia of Mathematical Sciences ; 11
Temas:
Topological groups.
Lie groups.
K-theory.
Topological Groups and Lie Groups.
K-Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • What is Algebra?
  • Fields
  • Commutative Rings
  • Homomorphisms and Ideals
  • Modules
  • Algebraic Aspects of Dimension
  • The Algebraic View of Infinitesimal Notions
  • Noncommutative Rings
  • Modules over Noncommutative Rings
  • Semisimple Modules and Rings
  • Division Algebras of Finite Rank
  • The Notion of a Group
  • Examples of Groups: Finite Groups
  • Examples of Groups: Infinite Discrete Groups
  • Examples of Groups: Lie Groups and Algebraic Groups
  • General Results of Group Theory
  • Group Representations
  • Some Applications of Groups
  • Lie Algebras and Nonassociative Algebra
  • Categories
  • Homological Algebra
  • K-theory.

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