1.

Record Nr.

UNINA9910454766803321

Titolo

Commutative algebra and its applications [[electronic resource] ] : proceedings of the fifth International Fez Conference on Commutative Algebra and Applications, Fez, Morocco, June 23-28, 2008 / / editors, Marco Fontana ... [et al]

Pubbl/distr/stampa

Berlin ; ; New York, : Walter de Gruyter, c2009

ISBN

1-282-37262-9

9786612372629

3-11-021318-4

Descrizione fisica

1 online resource (394 p.)

Collana

De Gruyter Proceedings in Mathematics

Classificazione

SK 200

Altri autori (Persone)

FontanaMarco <1947->

Disciplina

512

Soggetti

Commutative algebra

Algebra

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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

Sommario/riassunto

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.