Multiplicative Ideal Theory in Commutative Algebra (PDF)

Preface.- Commutative rings (Anderson).- Robert Gilmer's work on semigroup rings (Anderson).- Numerical semigroup algebras (Barucci).- Prüfer rings (Bazzoni, Glaz).- Subrings of zero-dimensional rings (Brewer, Richman).- Old problems and new questions around integer-valued polynomials and factorial sequences (Chabert, Cahen).- Robert Gilmer's contributions to the theory of integer-valued polynomials (Chapman, Ponomarenko, Smith).- Progress on the dimension question for power series rings (Coykendall).- Some research on chains of prime ideals influenced by the writings of Robert Gilmer (Dobbs).- Direct-sum decompositions over one-dimensional Cohen-Macaulay local rings (Facchini, Hassler, Klingler, Wiegand).- An historical overview of Kronecker function rings, Nagata rings, and related star and semistar operations (Fontana, Loper).- Generalized Dedekind domains (Gabelli).- Non-unique factorizations: a survey (Geroldinger, Halter-Koch).- Mixed polynomial/power series rings and relations among their spectra (Heinzer, Rotthaus, Wiegand).- Uppers to zero in polynomial rings (Houston).- On the dimension theory of polynomial rings over pullbacks (Kabbaj).- Almost Dedekind domains which are not Dedekind (Loper).- Integrality properties of polynomial rings and semigroup rings (Lucas).- Punctually free ideals (Ohm).- Holomorphy rings of function fields (Olberding).- The minimal number of generators of an invertible ideal (Olberding, Roitman).- About minimal morphisms (Picavet, Picavet-L'Hermitte).- What v-coprimality can do for you (Zafrullah).- Some questions for further research (Gilmer).- Robert Gilmer's published works.- Commutative Algebra at Florida State 1963-1968 (Brewer, Heinzer).- Index.