Basic abstract algebra /

This book represents a complete course in abstract algebra, providing instructors with flexibility in the selection of topics to be taught in individual classes. All the topics presented are discussed in a direct and detailed manner. Throughout the text, complete proofs have been given for all theor...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bhattacharya, P. B. (Phani Bhushan), 1914- (Autor), Jain, S. K. (Surender Kumar), 1938- (Autor), Nagpaul, S. R. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 1994.
Edición:2nd ed.
Temas:
Algebra, Abstract.
Algèbre abstraite.
MATHEMATICS > Algebra > Abstract.
Algebra, Abstract
Algebra
Acceso en línea:Texto completo
Tabla de Contenidos:
  • pt. I. Preliminaries
  • Sets and mappings
  • Integers, real numbers, and complex numbers
  • Matrices and determinants
  • pt. II. Groups
  • Groups
  • Normal subgroups
  • Normal series
  • Permutation groups
  • Structure theorems of groups
  • pt. III. Rings and modules
  • Rings
  • Ideals and homomorphisms
  • Unique factorization domains and euclidean domains
  • Rings of fractions
  • Integers
  • Modules and vector spaces
  • pt. IV. Field theory
  • Algebraic extensions of fields
  • Normal and separable extensions
  • Galois theory
  • Applications of Galios theory to classical problems
  • pt. V. Additional topics
  • Noetherian and Artinian modules and rings
  • Smith normal form over a PID and rank
  • Finitely generated modules over a PID
  • Tensor products.

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