Commutative Algebra and Its Applications : Proceedings of the Fifth International Fez Conference on Commutative Algebra and Applications, Fez, Morocco, June 23–28, 2008

This volume contains selected refereed papers based on lectures presented at the  ́;Fifth International Fez Conference on Commutative Algebra and Applications ́ that was held in Fez, Morocco in June 2008. The volume represents new trends and areas of classical research within the field, with contributions from many different countries. In addition, the volume has as a special focus the research and influence of Alain Bouvier on commutative algebra over the past thirty years. Frontmatter ......Page 1 Table of contents......Page 7 Splitting sets and weakly Matlis domains......Page 9 Divisibility properties in ultrapowers of commutative rings......Page 17 On rings with divided nil ideal: a survey......Page 29 Prüfer-like conditions in pullbacks......Page 49 On propinquity of numerical semigroups and one-dimensional local Cohen Macaulay rings......Page 57 n-perfectness in pullbacks......Page 69 On flatness of factor rings and Krull dimension of tensor products......Page 77 Bouvier’s conjecture......Page 87 Elastic properties of some semirings defined by positive systems......Page 97 Integer-valued polynomial in valued fields with an application to discrete dynamical systems......Page 111 Almost clean rings and arithmetical rings......Page 143 Amalgamated algebras along an ideal......Page 163 A sheaf-theoretic bound on the cardinality of a finite ring......Page 181 Straight rings, II......Page 191 On TV-domains......Page 215 Integral basis of cubic number fields......Page 221 Some new approaches to integer-valued polynomial rings......Page 231 v-ordering sequences and countable sets......Page 247 Mixed invertibility and Prüfer-like monoids and domains......Page 255 Chain conditions in rings of the form A + XB[X] and A + XI[X]......Page 267 On (n, d)-perfect rings......Page 283 t-class semigroups of Noetherian domains......Page 291 Gorenstein dimensions in trivial ring extensions......Page 299 Note on Prüfer *-multiplication domains and class groups......Page 309 Schubert varieties with inequidimensional singular locus......Page 321 On Matlis domains and Prüfer sections of Noetherian domains......Page 329 Transfinite self-idealization and commutative rings of triangular matrices......Page 341 Bass numbers and semidualizing complexes......Page 357 Every numerical semigroup is one over d of infinitely many symmetric numerical semigroups......Page 391

This volume contains selected refereed papers based on lectures presented at the ‘Fifth International Fez Conference on Commutative Algebra and Applications’ that was held in Fez, Morocco in June 2008. The volume represents new trends and areas of classical research within the field, with contributions from many different countries. In addition, the volume has as a special focus the research and influence of Alain Bouvier on commutative algebra over the past thirty years.

Main description: This volume contains selected refereed papers based on lectures presented at the 'Fifth International Fez Conference on Commutative Algebra and Applications' that was held in Fez, Morocco in June 2008. The volume represents new trends and areas of classical research within the field, with contributions from many different countries. In addition, the volume has as a special focus the research and influence of Alain Bouvier on commutative algebra over the past thirty years Contains selected refereed papers based on lectures presented at the 'Fifth International Fez Conference on Commutative Algebra and Applications' that was held in Fez, Morocco in June 2008. This volume represents fresh trends and areas of classical research within the field, with contributions from many different countries.