Integer-valued polynomial in valued fields with an application to discrete dynamical systems

Chapters in this book

1. Frontmatter I
2. Table of contents VII
3. Splitting sets and weakly Matlis domains 1
4. Divisibility properties in ultrapowers of commutative rings 9
5. On rings with divided nil ideal: a survey 21
6. Prüfer-like conditions in pullbacks 41
7. On propinquity of numerical semigroups and one-dimensional local Cohen Macaulay rings 49
8. n-perfectness in pullbacks 61
9. On flatness of factor rings and Krull dimension of tensor products 69
10. Bouvier’s conjecture 79
11. Elastic properties of some semirings defined by positive systems 89
12. Integer-valued polynomial in valued fields with an application to discrete dynamical systems 103
13. Almost clean rings and arithmetical rings 135
14. Amalgamated algebras along an ideal 155
15. A sheaf-theoretic bound on the cardinality of a finite ring 173
16. Straight rings, II 183
17. On TV-domains 207
18. Integral basis of cubic number fields 213
19. Some new approaches to integer-valued polynomial rings 223
20. v-ordering sequences and countable sets 239
21. Mixed invertibility and Prüfer-like monoids and domains 247
22. Chain conditions in rings of the form A + XB[X] and A + XI[X] 259
23. On (n, d)-perfect rings 275
24. t-class semigroups of Noetherian domains 283
25. Gorenstein dimensions in trivial ring extensions 291
26. Note on Prüfer *-multiplication domains and class groups 301
27. Schubert varieties with inequidimensional singular locus 313
28. On Matlis domains and Prüfer sections of Noetherian domains 321
29. Transfinite self-idealization and commutative rings of triangular matrices 333
30. Bass numbers and semidualizing complexes 349
31. Every numerical semigroup is one over d of infinitely many symmetric numerical semigroups 383