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Multiplicative Ideal Theory in Commutative Algebra A Tribute to the Work of Robert Gilmer /

For over forty years, Robert Gilmer's numerous articles and books have had a tremendous impact on research in commutative algebra. It is not an exaggeration to say that most articles published today in non-Noetherian ring theory, and some in Noetherian ring theory as well, originated in a topic...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Brewer, James W. (Editor ), Glaz, Sarah (Editor ), Heinzer, William (Editor ), Olberding, Bruce (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer US : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Commutative rngs
  • Robert Gilmer's work on semigroup rings
  • Numerical semigroup algebras
  • Prüfer rings
  • Subrings of zero-dimensional rings
  • Old problems and new questions around integer-valued polynomials and factorial sequences
  • Robert Gilmer's contributions to the theory of integer-valued polynomials
  • Progress on the dimension question for power series rings
  • Some research on chains of prime ideals influenced by the writings of Robert Gilmer
  • Direct-sum decompositions over one-dimensional Cohen-Macaulay local rings
  • An historical overview of Kronecker function rings, Nagata rings, and related star and semistar operations
  • Generalized Dedekind domains
  • Non-unique factorizations: a survey
  • Mixed polynomial/power series rings and relatinos among their spectra
  • Uppers to zero in polynomial rings
  • On the dimension theory of polynomial rings over pullbacks
  • Almost Dedekind domains which are not Dedekind
  • Integrality properties of polynomial rings and semigroup rings
  • Punctually free ideals
  • Holomorphy rings of function fields
  • The minimal number of generators of an invertible ideal
  • About minimal morphisms
  • What v-coprimality can do for you
  • Some questions for further research
  • Robert Gilmer's published works
  • Commutative Algebra at Florida State 1963-1968.