Algebra A Teaching and Source Book /

This book presents a graduate-level course on modern algebra. It can be used as a teaching book - owing to the copious exercises - and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditi...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Shult, Ernest (Autor), Surowski, David (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Temas:
Associative rings.
Associative algebras.
Group theory.
Algebraic fields.
Polynomials.
Algebra.
Associative Rings and Algebras.
Group Theory and Generalizations.
Field Theory and Polynomials.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Basics
  • Basic Combinatorial Principles of Algebra
  • Review of Elementary Group Properties
  • Permutation Groups and Group Actions
  • Normal Structure of Groups
  • Generation in Groups
  • Elementary Properties of Rings
  • Elementary properties of Modules
  • The Arithmetic of Integral Domains
  • Principal Ideal Domains and Their Modules
  • Theory of Fields
  • Semiprime Rings
  • Tensor Products.

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