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

Book

Commutative Algebra and its Applications

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

Edited by: Marco Fontana , Salah-Eddine Kabbaj , Bruce Olberding and Irena Swanson

Language: English

Published/Copyright: 2009

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De Gruyter Proceedings in Mathematics

About this book

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.

Author / Editor information

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.

Topics

Mathematics Algebra and Number Theory

Frontmatter Requires Authentication Unlicensed Licensed	I
Table of contents Requires Authentication Unlicensed Licensed	VII
Splitting sets and weakly Matlis domains D. D. Anderson and M. Zafrullah Requires Authentication Unlicensed Licensed	1
Divisibility properties in ultrapowers of commutative rings D. F. Anderson, A. Badawi, D. E. Dobbs and J. Shapiro Requires Authentication Unlicensed Licensed	9
On rings with divided nil ideal: a survey A. Badawi Requires Authentication Unlicensed Licensed	21
Prüfer-like conditions in pullbacks C. Bakkari and N. Mahdou Requires Authentication Unlicensed Licensed	41
On propinquity of numerical semigroups and one-dimensional local Cohen Macaulay rings V. Barucci Requires Authentication Unlicensed Licensed	49
n-perfectness in pullbacks D. Bennis and N. Mahdou Requires Authentication Unlicensed Licensed	61
On flatness of factor rings and Krull dimension of tensor products S. Bouchiba Requires Authentication Unlicensed Licensed	69
Bouvier’s conjecture S. Bouchiba and S. Kabbaj Requires Authentication Unlicensed Licensed	79
Elastic properties of some semirings defined by positive systems P. Cesarz, S. T. Chapman, S. McAdam and G. J. Schaeffer Requires Authentication Unlicensed Licensed	89
Integer-valued polynomial in valued fields with an application to discrete dynamical systems J.-l. Chabert Requires Authentication Unlicensed Licensed	103
Almost clean rings and arithmetical rings F. Couchot Requires Authentication Unlicensed Licensed	135
Amalgamated algebras along an ideal M. D’Anna, C. A. Finocchiaro and M. Fontana Requires Authentication Unlicensed Licensed	155
A sheaf-theoretic bound on the cardinality of a finite ring D. E. Dobbs Requires Authentication Unlicensed Licensed	173
Straight rings, II D. E. Dobbs and G. Picavet Requires Authentication Unlicensed Licensed	183
On TV-domains S. Baghdadi Requires Authentication Unlicensed Licensed	207
Integral basis of cubic number fields L. Fadil Requires Authentication Unlicensed Licensed	213
Some new approaches to integer-valued polynomial rings J. Elliott Requires Authentication Unlicensed Licensed	223
v-ordering sequences and countable sets Y. Fares Requires Authentication Unlicensed Licensed	239
Mixed invertibility and Prüfer-like monoids and domains F. Halter-Koch Requires Authentication Unlicensed Licensed	247
Chain conditions in rings of the form A + XB[X] and A + XI[X] S. Hizem Requires Authentication Unlicensed Licensed	259
On (n, d)-perfect rings A. Jhilal and N. Mahdou Requires Authentication Unlicensed Licensed	275
t-class semigroups of Noetherian domains S. Kabbaj and A. Mimouni Requires Authentication Unlicensed Licensed	283
Gorenstein dimensions in trivial ring extensions N. Mahdou and K. Ouarghi Requires Authentication Unlicensed Licensed	291
Note on Prüfer *-multiplication domains and class groups R. Matsuda Requires Authentication Unlicensed Licensed	301
Schubert varieties with inequidimensional singular locus S. B. Mulay Requires Authentication Unlicensed Licensed	313
On Matlis domains and Prüfer sections of Noetherian domains B. Olberding Requires Authentication Unlicensed Licensed	321
Transfinite self-idealization and commutative rings of triangular matrices L. Salce Requires Authentication Unlicensed Licensed	333
Bass numbers and semidualizing complexes S. Sather-Wagstaff Requires Authentication Unlicensed Licensed	349
Every numerical semigroup is one over d of infinitely many symmetric numerical semigroups I. Swanson Requires Authentication Unlicensed Licensed	383

Publishing information

Pages and Images/Illustrations in book

eBook published on:

September 4, 2009

eBook ISBN:

9783110213188

Hardcover published on:

September 16, 2009

Hardcover ISBN:

9783110207460

Pages and Images/Illustrations in book

Front matter:

8

Main content:

386

https://doi.org/10.1515/9783110213188

eBook ISBN: 9783110213188

Hardcover ISBN: 9783110207460

Keywords for this book

Commutative Algebra; Module Theory; Monoid Theory; Algebraic Geometry; Algebraic Number Theory

Audience(s) for this book

Research Mathematicians and Graduate Students; Academic Libraries

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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Commutative Algebra and its Applications

Overview

About this book

Author / Editor information

Topics

Table of contents

Bibliographic data