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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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA :
Springer US,
2006.
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| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- 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.
