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 Table of contents Splitting sets and weakly Matlis domains Divisibility properties in ultrapowers of commutative rings On rings with divided nil ideal: a survey Prüfer-like conditions in pullbacks On propinquity of numerical semigroups and one-dimensional local Cohen Macaulay rings n-perfectness in pullbacks On flatness of factor rings and Krull dimension of tensor products Bouvier’s conjecture Elastic properties of some semirings defined by positive systems Integer-valued polynomial in valued fields with an application to discrete dynamical systems Almost clean rings and arithmetical rings Amalgamated algebras along an ideal A sheaf-theoretic bound on the cardinality of a finite ring Straight rings, II On TV-domains Integral basis of cubic number fields Some new approaches to integer-valued polynomial rings v-ordering sequences and countable sets Mixed invertibility and Prüfer-like monoids and domains Chain conditions in rings of the form A + XB[X] and A + XI[X] On (n, d)-perfect rings t-class semigroups of Noetherian domains Gorenstein dimensions in trivial ring extensions Note on Prüfer *-multiplication domains and class groups Schubert varieties with inequidimensional singular locus On Matlis domains and Prüfer sections of Noetherian domains Transfinite self-idealization and commutative rings of triangular matrices Bass numbers and semidualizing complexes Every numerical semigroup is one over d of infinitely many symmetric numerical semigroups 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.