Commutative Algebra and its Applications (eBook)

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

Marco Fontana, Salah-Eddine Kabbaj, Bruce Olberding, Irena Swanson (Herausgeber)

eBook Download: PDF

2009
394 Seiten
De Gruyter (Verlag)
978-3-11-021318-8 (ISBN)

Infos

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.

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.

Autor

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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.

Inhalt

Frontmatter 2
Table of contents 8
Splitting sets and weakly Matlis domains 10
Divisibility properties in ultrapowers of commutative rings 18
On rings with divided nil ideal: a survey 30
Prüfer-like conditions in pullbacks 50
On propinquity of numerical semigroups and one-dimensional local Cohen Macaulay rings 58
n-perfectness in pullbacks 70
On flatness of factor rings and Krull dimension of tensor products 78
Bouvier’s conjecture 88
Elastic properties of some semirings defined by positive systems 98
Integer-valued polynomial in valued fields with an application to discrete dynamical systems 112
Almost clean rings and arithmetical rings 144
Amalgamated algebras along an ideal 164
A sheaf-theoretic bound on the cardinality of a finite ring 182
Straight rings, II 192
On TV-domains 216
Integral basis of cubic number fields 222
Some new approaches to integer-valued polynomial rings 232
v-ordering sequences and countable sets 248
Mixed invertibility and Prüfer-like monoids and domains 256
Chain conditions in rings of the form A + XB[X] and A + XI[X] 268
On (n, d)-perfect rings 284
t-class semigroups of Noetherian domains 292
Gorenstein dimensions in trivial ring extensions 300
Note on Prüfer *-multiplication domains and class groups 310
Schubert varieties with inequidimensional singular locus 322
On Matlis domains and Prüfer sections of Noetherian domains 330
Transfinite self-idealization and commutative rings of triangular matrices 342
Bass numbers and semidualizing complexes 358
Every numerical semigroup is one over d of infinitely many symmetric numerical semigroups 392

Produkt-Details

• Erscheint lt. Verlag: 4.9.2009
• Reihe/Serie: De Gruyter Proceedings in Mathematics
• Reihe/Serie: De Gruyter Proceedings in Mathematics
• Reihe/Serie: ISSN
• Verlagsort: Berlin/Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Technik
• Schlagworte: Algebraic Geometry • algebraic number theory • Commutative algebra • Kommutative Algebra • Modul • module theory • Monoid • Monoid Theory
• ISBN-10: 3-11-021318-4 / 3110213184
• ISBN-13: 978-3-11-021318-8 / 9783110213188