A Tribute to the Work of Robert Gilmer
Buch, Englisch, 435 Seiten, Format (B × H): 162 mm x 242 mm, Gewicht: 1790 g
ISBN: 978-0-387-24600-0
Verlag: Springer Us
This volume, a tribute to the work of Robert Gilmer, consists of twenty-four articles authored by his most prominent students and followers. These articles combine surveys of past work by Gilmer and others, recent results which have never before seen print, open problems, and extensive bibliographies. The entire collection provides an in-depth overview of the topics of research in a significant and large area of commutative algebra.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
