Fontana / Kabbaj / Olberding Commutative Algebra and its Applications

Proceedings of the Fifth International Fez Conference on Commutative Algebra and Applications, Fez, Morocco, June 23-28, 2008
1. Auflage 2009
ISBN: 978-3-11-021318-8
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 394 Seiten, Gewicht: 10 g

Reihe: De Gruyter Proceedings in Mathematics

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.

Zielgruppe

Research Mathematicians and Graduate Students; Academic Libraries

Autoren/Hrsg.

Fontana, Marco

Kabbaj, Salah-Eddine

Olberding, Bruce

Swanson, Irena

Fachgebiete

• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

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

Über Autor(innen)

Marco Fontana, Università degli Studi “Roma Tre”, Rome, Italy; Salah-Eddine Kabbaj, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia; Bruce Olberding, New Mexico State University, Las Cruces, USA; Irena Swanson, Reed College, Portland, USA.