Multiplicative Ideal Theory in Commutative Algebra

Brewer, James W.; Glaz, Sarah; Heinzer, William J.; Olberding, Bruce M.

Multiplicative Ideal Theory in Commutative Algebra

Edited by James W. Brewer, Sarah Glaz, William J. Heinzer and Bruce M. Olberding

in Springer Books from Springer

Date: 2006
ISBN: 978-0-387-36717-0
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Chapters in this book:

Commutative rngs: D. D. Anderson
Robert Gilmer’s work on semigroup rings: David F. Anderson
Numerical semigroup algebras: Valentina Barucci
Prüfer rings: Silvana Bazzoni and Sarah Glaz
Subrings of zero-dimensional rings: Jim Brewer and Fred Richman
Old problems and new questions around integer-valued polynomials and factorial sequences: Jean-Luc Chabert and Paul-Jean Cahen
Robert Gilmer’s contributions to the theory of integer-valued polynomials: Scott T. Chapman, Vadim Ponomarenko and William W. Smith
Progress on the dimension question for power series rings: Jim Coykendall
Some research on chains of prime ideals influenced by the writings of Robert Gilmer: D. E. Dobbs
Direct-sum decompositions over one-dimensional Cohen-Macaulay local rings: Alberto Facchini, Wolfgang Hassler, Lee Klingler and Roger Wiegand
An historical overview of Kronecker function rings, Nagata rings, and related star and semistar operations: Marco Fontana and K. Alan Loper
Generalized Dedekind domains: Stefania Gabelli
Non-unique factorizations: a survey: Alfred Geroldinger and Franz Halter-Koch
Mixed polynomial/power series rings and relatinos among their spectra: William Heinzer, Christel Rotthaus and Sylvia Wiegand
Uppers to zero in polynomial rings: Evan Houston
On the dimension theory of polynomial rings over pullbacks: S. Kabbaj
Almost Dedekind domains which are not Dedekind: K. Allan Loper
Integrality properties of polynomial rings and semigroup rings: Thomas G. Lucas
Punctually free ideals: Jack Ohm
Holomorphy rings of function fields: Bruce Olberding
The minimal number of generators of an invertible ideal: Bruce Olberding and Moshe Roitman
About minimal morphisms: Gabriel Picavet and Martine Picavet-L’Hermitte
What v-coprimality can do for you: Muhammad Zafrullah
Some questions for further research: Robert Gilmer
Commutative Algebra at Florida State 1963–1968: Jim Brewer and Bill Heinzer

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DOI: 10.1007/978-0-387-36717-0

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