Multiplicative Ideal Theory in Commutative Algebra

1. Commutative rngs
D. D. Anderson

2. Robert Gilmer’s work on semigroup rings
David F. Anderson

3. Numerical semigroup algebras
Valentina Barucci

4. Prüfer rings
Silvana Bazzoni, Sarah Glaz

5. Subrings of zero-dimensional rings
Jim Brewer, Fred Richman

6. Old problems and new questions around integer-valued polynomials and factorial sequences
Jean-Luc Chabert, Paul-Jean Cahen

7. Robert Gilmer’s contributions to the theory of integer-valued polynomials
Scott T. Chapman, Vadim Ponomarenko, William W. Smith

8. Progress on the dimension question for power series rings
Jim Coykendall

9. Some research on chains of prime ideals influenced by the writings of Robert Gilmer
D. E. Dobbs

10. Direct-sum decompositions over one-dimensional Cohen-Macaulay local rings
Alberto Facchini, Wolfgang Hassler, Lee Klingler, Roger Wiegand

11. An historical overview of Kronecker function rings, Nagata rings, and related star and semistar operations
Marco Fontana, K. Alan Loper

12. Generalized Dedekind domains
Stefania Gabelli

13. Non-unique factorizations: a survey
Alfred Geroldinger, Franz Halter-Koch

14. Mixed polynomial/power series rings and relatinos among their spectra
William Heinzer, Christel Rotthaus, Sylvia Wiegand

15. Uppers to zero in polynomial rings
Evan Houston

16. On the dimension theory of polynomial rings over pullbacks
S. Kabbaj

17. Almost Dedekind domains which are not Dedekind
K. Allan Loper

18. Integrality properties of polynomial rings and semigroup rings
Thomas G. Lucas

19. Punctually free ideals
Jack Ohm

20. Holomorphy rings of function fields
Bruce Olberding

21. The minimal number of generators of an invertible ideal
Bruce Olberding, Moshe Roitman

22. About minimal morphisms
Gabriel Picavet, Martine Picavet-L’Hermitte

23. What v-coprimality can do for you
Muhammad Zafrullah

24. Some questions for further research
Robert Gilmer

25. Robert Gilmer’s published works
26. Commutative Algebra at Florida State 1963–1968
Jim Brewer, Bill Heinzer

DRM-restrictions

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Keywords: MATHEMATICS / General MAT000000