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Prüfer-like conditions in pullbacks

  • C. Bakkari and N. Mahdou
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Commutative Algebra and its Applications
This chapter is in the book Commutative Algebra and its Applications

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
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