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 that...

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Kolejni autorzy: Brewer, James W., 1942- (Redaktor), Glaz, Sarah (Redaktor), Heinzer, William J. (Redaktor), Olberding, Bruce, 19..- (Redaktor)
Format: Livre numérique
Język:Anglais
Wydane: Boston, MA : Springer US [20..].
Cham : Springer Nature
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Komentarz: Description d'après consultation du 13 avril 2011
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Variante du titre:Mélanges :, Gilmer
Edition sous un autre format:• Multiplicative ideal theory in commutative algebra, a tribute to the work of Robert Gilmer, Sarah Glaz,... James W. Brewer,... William J. Heinzer,... [et al.] (eds.), New York, Springer, 2006, 1 vol. (XV-435 p.), 0-387-24600-2
Spis treści:
  • 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.