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Commutative ring theory : proceedings of the Fès international conference

Author: Paul-Jean Cahen
Publisher: New York : M. Dekker, ©1994.
Series: Lecture notes in pure and applied mathematics, v. 153.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Database:WorldCat
Summary:
Presenting the proceedings of a recently held conference in Fes, Morocco, this outstanding, up-to-date reference details the latest developments in commutative algebra - highlighting the theory of rings and ideals.
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Genre/Form: Conference papers and proceedings
Congresses
Material Type: Conference publication, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Paul-Jean Cahen
ISBN: 0824791703 9780824791704
OCLC Number: 28847306
Notes: Proceedings of the International Conference on Commutative Ring Theory, held at Fès, Morocco, Apr. 20-24, 1992.
Description: x, 256 pages ; 26 cm.
Contents: 1. Seminormal Mori domains / V. Barucci --
2. Maximality properties in numerical semigroups, with applications to one-dimensional analytically irreducible local domains / V. Barucci, D. Dobbs and M. Fontana --
3. The graded and tame extensions / M. Boulagouaz --
4. Ascending chain conditions and associated primes / P.-J. Cahen --
5. Polynomials whose derivatives are integer-valued in number fields / J.-L. Chabert --
6. Krull dimension of graded algebras / R. Chibloun and A. Micali --
7. Radices in commutative rings / D. Costa and G. Keller --
8. The generalized Samuel numbers / H. Dichi --
9. Some locally trivial star-theoretic properties of integral domains / D. Dobbs and M. Zafrullah --
10. The altitude formula / O. Echi --
11. Absolutely pure modules and locally injective modules / A. Facchini --
12. Krull and valuative dimensions of the A + XB[X] rings / M. Fontana, L. Izelgue and S. Kabbaj --
13. Divisorial ideals and class groups of Mori domains / S. Gabelli. 14. t-invertibility and comparability / R. Gilmer, J. Mott and M. Zafrullah --
15. AF-rings and locally Jaffard rings / F. Girolami --
16. Prime t-ideals in R[X] / E. Houston --
17. A characterization of semi-artinian rings / A. Idelhadj and A. Kaidi --
18. The ring of finite fractions / T. Lucas --
19. Graded rings and modules / H. Matsumura --
20. Symbolic powers, Rees algebras and applications / J.-I. Nishimura --
21. Soundable subsets of a spectrum and depth / G. Picavet --
22. t --
closed rings / M. Picavet-L'Hermitte --
23. Some aspects of the asymptotic theory of ideals. Generalization to filtrations / D. Sangare --
24. Chain conditions arising from the study of non finitely generated modules over commutative rings / S. Zarzuela.
Series Title: Lecture notes in pure and applied mathematics, v. 153.
Responsibility: edited by Paul-Jean Cahen [and others].
More information:

Abstract:

Presenting the proceedings of a recently held conference in Fes, Morocco, this outstanding, up-to-date reference details the latest developments in commutative algebra - highlighting the theory of rings and ideals.

Exploring commutative algebra's connections with and applications to topological algebra and algebraic geometry, Commutative Ring Theory covers the spectra of rings ... chain conditions, dimension theory, and Jaffard rings ... fiber products ... group rings, semigroups rings, and graded rings ... class groups ... linear groups ... integer-valued polynomials ... rings of finite fractions ... big Cohen-Macaulay modules ... and much more.

Furnishing over 330 literature citations, allowing further in-depth study of particular topics, Commutative Ring Theory is a vital resource for research mathematicians, algebraists, commutative ring theorists, and graduate students in these disciplines.

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