Commutative Ring Theory and Applications

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ISBN: 9780824708559 | 0824708555
Cover: Nonspecific Binding
Copyright: 10/1/2002

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Featuring presentations from the Fourth International Conference held in Fez, Morocco. Emphasizes innovative applications and connections to algebraic number theory and geometry, and homological and computational algebra.

Preface

iii

Contributors

D[X2, X3] Over an Integral Domain D

(14)

David F. Anderson

Gyu Whan Chang

Jeanam Park

On the Complete Integral Closure of Rings that Admit a φ-Strongly Prime Ideal

(8)

Ayman Badawi

Frobenius Number of a Linear Diophantine Equation

(14)

Abdallah Badra

On Plane Algebroid Curves

(14)

V. Barucci

M. D'Anna

R. Froberg

On Radical Operations

(10)

Ali Benhissi

A Splitting Property Characterizing Artinian Principal Ideal Rings

(4)

Abdelmalek Bouanane

Raja Eddahabi

Rings of Integer-Valued Polynomials and the bcs-Property

(12)

James Brewer

Lee Klingler

Factorial Groups and Polya Groups in Galoisian Extension of Q

(10)

Jean-Luc Chabert

Monomial Ideals and the Computation of Multiplicities

(20)

D. Delfino

A. Taylor

W. V. Vasconcelos

N. Weininger

R. H. Villarreal

Analytic Spread of a Pregraduation

107

(10)

Youssouf M. Diagana

Extension of the Hilbert-Samuel Theorem

117

(14)

Henri Dichi

On the Integral Closure of Going-Down Rings

131

(12)

David E. Dobbs

Generalized Going-Down Homomorphisms of Commutative Rings

143

(22)

David E. Dobbs

Mario Fontana

Gabriel Picavet

The Class Group of the Composite Ring of a Pair of Krull Domains and Applications

165

(8)

Said El Baghdadi

Complete Integral Closure and Noetherian Property for Integer-Valued Polynomial Rings

173

(18)

S. Gabelli

F. Tartarone

Controlling the Zero Divisors of a Commutative Ring

191

(22)

Sarah Glaz

Weak Module Systems and Applications: A Multiplicative Theory of Integral Elements and the Marot Property

213

(20)

Franz Halter-Koch

Examples of Integral Domains Inside Power Series Rings

233

(22)

William Heinzer

Christel Rotthaus

Sylvia Wiegand

Generalized Going-Up Homomorphisms of Commutative Rings

255

(12)

Andrew J. Hetzel

Parameter-Like Sequences and Extensions of Tight Closure

267

(22)

Melvin Hochster

The Tor Game

289

(12)

Craig Huneke

Roger Wiegand

Trivial Extensions of Local Rings and a Conjecture of Costa

301

(12)

S. Kabbaj

N. Mahdou

On the t-Dimension of Integral Domains

313

(10)

Mohammed Khalis

On Some Annihilator Conditions Over Commutative Rings

323

(12)

Farid Kourki

On Projective Modules Over Polynomial Rings

335

(14)

Yves Lequain

Najib Mahdou

Rings, Conditional Expectations, and Localization

349

(18)

Thomas G. Lucas

Errata: ``Pullbacks and Coherent-Like Properties'' [In: Lect. Notes Pure Appl. Math., Dekker, 205 (1999) 437-459]

367

(2)

Abdeslam Mimouni

Ultraproducts of Commutative Rings

369

(18)

Bruce Olberding

Serpil Saydam

Geometric Subsets of a Spectrum

387

(32)

Gabriel Picavet

Trigonometric Polynomial Rings

419

(16)

Gabriel Picavet

Martine Picavet-l'Hermitte

The First Mayr-Meyer Ideal

435

(10)

Irena Swanson

Facets on Rings Between D[X] and K[X]

445

(16)

Muhammad Zafrullah

Constructions Cachees en Algebre Abstraites

461

(16)

Henri Lombardi

Claude Quitte

Hidden Constructions in Abstract Algebra: Krull Dimension of Distributive Lattices and Commutative Rings

477

Thierry Coquand

Henri Lombardi

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Commutative Ring Theory and Applications

Summary

Table of Contents

Supplemental Materials