Commutative ring theory and applications : proceedings of the fourth international conference

Preface......Page 9
Contents......Page 11
Contributors......Page 15
D[X2, X3] Over an Integral Domain D......Page 19
On the Complete Integral Closure of Rings that Admit a (|)-Strongly Prime Ideal......Page 33
Frobenius Number of a Linear Diophantine Equation......Page 41
On Plane Algebroid Curves......Page 55
On Radical Operations......Page 69
A Splitting Property Characterizing Artinian Principal Ideal Rings......Page 79
Rings of Integer-Valued Polynomials and the bcs-Property......Page 83
Factorial Groups and Polya Groups in Galoisian Extension of Q......Page 95
Monomial Ideals and the Computation of Multiplicities......Page 105
Analytic Spread of a Pregraduation......Page 125
Extension of the Hilbert-Samuel Theorem......Page 135
On the Integral Closure of Going-Down Rings......Page 149
Generalized Going-Down Homomorphisms of Commutative Rings......Page 161
The Class Group of the Composite Ring of a Pair of Krull Domains and Applications......Page 183
Complete Integral Closure and Noetherian Property for Integer-Valued Polynomial Rings......Page 191
Controlling the Zero Divisors of a Commutative Ring......Page 209
Weak Module Systems and Applications: A Multiplicative Theory of Integral Elements and the Marot Property......Page 231
Examples of Integral Domains Inside Power Series Rings......Page 251
Generalized Going-Up Homomorphisms of Commutative Rings......Page 273
Parameter-Like Sequences and Extensions of Tight Closure......Page 285
The Tor Game......Page 307
Trivial Extensions of Local Rings and a Conjecture of Costa......Page 319
On the /-Dimension of Integral Domains......Page 331
On Some Annihilator Conditions Over Commutative Rings......Page 341
On Projective Modules Over Polynomial Rings......Page 353
Rings, Conditional Expectations, and Localization......Page 367
Errata: \"Fullbacks and Coherent-Like Properties\" [In: Lect. Notes Pure Appl. Math., Dekker, 205 (1999) 437-459]......Page 385
Ultraproducts of Commutative Rings......Page 387
Geometric Subsets of a Spectrum......Page 405
Trigonometric Polynomial Rings......Page 437
The First Mayr-Meyer Ideal......Page 453
Facets on Rings Between D[X] and K[X]......Page 463
Constructions Cachees en Algebre Abstraite: Le Principe Local-Global......Page 479
Hidden Constructions in Abstract Algebra: Krull Dimension of Distributive Lattices and Commutative Rings......Page 495