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

Multiplicative Ideal Theory in Commutative Algebra: A Tribute to the Work of Robert Gilmer
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Field name Details
Dewey Class 512.44 (DDC 22)
Title Multiplicative Ideal Theory in Commutative Algebra (EB) : A Tribute to the Work of Robert Gilmer / edited by James W. Brewer, Sarah Glaz, William J. Heinzer, Bruce M. Olberding.
Added Personal Name Glaz, Sarah
Heinzer, William J.
Olberding, Bruce M.
Brewer, James W.
Other name(s) SpringerLink (Online service)
Publication Boston, MA : Springer , 2006
Physical Details : 1 online resource
ISBN 9780387367170
Summary Note CONTENTS; Commutative rings; Robert Glimer'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 operationsGeneralized Dedekind domains; Non-unique factorizations: a survey; Mixed polynomial/power series rings and relations 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 youSome questions for further research; Robert Gilmer's published works; Commutative Algebra at Florida State 1963-1968; Index:
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