## Advances in Commutative Ring Theory"Presents the proceedings of the recently held Third International Conference on Commutative Ring Theory in Fez, Morocco. Details the latest developments in commutative algebra and related areas-featuring 26 original research articles and six survey articles on fundamental topics of current interest. Examines wide-ranging developments in commutative algebra, together with connections to algebraic number theory and algebraic geometry." |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

TtDomains without Identity | 25 |

A Survey | 55 |

On the Class Group A + XBX Domains | 73 |

Rooty and Root Closed Domains | 87 |

On ttPseudoValuation Rings | 101 |

Hermite and Weakly ScmiSteinitz Properties in Fullbacks | 133 |

The Characteristic Sequence of IntegerValued Polynomials on a Subset | 161 |

A Survey | 175 |

Marco Fontana | 307 |

Polynomial Functions on Finite Commutative Rings | 323 |

Koszul Algebras | 337 |

Primary Decomposition of Ideals | 351 |

Primary Decomposition of Ideals in Polynomial Rings | 369 |

Priifer Domains and Localizing Systems of Ideals | 391 |

Building Noetherian Domains Inside an Idealadic Completion II | 411 |

Pullbacks and CoherentLike Properties | 437 |

Multiplicative Groups of Fields | 197 |

Factorization in Antimatter Rings | 217 |

On the Probability That Eisensteins Criterion Applies to an Arbitrary | 241 |

When Is D + M iCoherent and an nDomain? | 257 |

A Survey | 271 |

Classification of Plane Cubic Curves | 461 |

Commutative Monoid Rings with Generated Ideals | 483 |

About GCD Domains | 501 |

Seminormality and Closedness of Algebraic Orders | 521 |

Failure of Krull Schmidt for Direct Sums of Copies of a Module | 541 |

### Common terms and phrases

Algebra antimatter antimatter ring Ass(I associated primes assume closure coherent commutative ring contains contradiction Corollary d-set D.D. Anderson decomposable decomposition Dedekind domain defined Dekker denote Department of Mathematics divisorial ideal equivalent example exists finitely generated ideal fractional ideal GCD-domain Hence Hermite ring homomorphism ideal Q implies Int(D integer-valued integral domain integrally closed invertible irreducible isomorphic Koszul Krull domain Laskerian Lemma local ring LTP domain Math maximal ideal modules monoid Moreover Mori domain multiplicative system n-coherent n-root Nil(R Noetherian domain nonzero ideal nonzero nonunit one-dimensional open subset order with conductor polynomial ring Priifer domain prime integer principal ideal Proof Proposition Prufer quadratic quasi-compact quasilocal quotient field radical ideal resp result root closed satisfies saturated seminormal Spec(A strong Skolem property subring Suppose t-closed orders Theorem topology torsion-free trace ideal unique factorization valuation domain XB[X zero divisors