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Steps in commutative algebra /

Introductory account of commutative algebra, aimed at students with a background in basic algebra.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sharp, R. Y.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2000.
Edición:2nd ed.
Colección:London Mathematical Society student texts ; 51.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Commutative rings and subrings
  • Ideals
  • Prime ideals and maximal ideals
  • Primary decomposition
  • Rings of fractions
  • Modules
  • Chain conditions on modules
  • Commutative noetherian rings
  • More module theory
  • Modules over principal ideal domains
  • Canonical forms for square matrices
  • Some applications to field theory
  • Integral dependence on subrings
  • Affine algebras over fields
  • Dimension theory
  • Regular sequences and grade
  • Cohen-macalay rings.