Commutative Ring Theory and Applications

by Fontana; Marco

• ISBN13: 9780824708559
• ISBN10: 0824708555
• Format: Nonspecific Binding
• Copyright: 2002-10-01
• Publisher: CRC Press

Summary

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.

Table of Contents

Preface	iii
Contributors	ix
D[X2, X3] Over an Integral Domain D	1	(14)
David F. Anderson
Gyu Whan Chang
Jeanam Park
On the Complete Integral Closure of Rings that Admit a φ-Strongly Prime Ideal	15	(8)
Ayman Badawi
Frobenius Number of a Linear Diophantine Equation	23	(14)
Abdallah Badra
On Plane Algebroid Curves	37	(14)
V. Barucci
M. D'Anna
R. Froberg
On Radical Operations	51	(10)
Ali Benhissi
A Splitting Property Characterizing Artinian Principal Ideal Rings	61	(4)
Abdelmalek Bouanane
Raja Eddahabi
Rings of Integer-Valued Polynomials and the bcs-Property	65	(12)
James Brewer
Lee Klingler
Factorial Groups and Polya Groups in Galoisian Extension of Q	77	(10)
Jean-Luc Chabert
Monomial Ideals and the Computation of Multiplicities	87	(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