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Non-Noetherian commutative ring theory

Author: Scott T Chapman; Sarah Glaz
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, ©2000.
Series: Mathematics and its applications (Kluwer Academic Publishers), v. 520.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Commutative Ring Theory emerged as a distinct field of research in math- ematics only at the beginning of the twentieth century. With this in mind, we invited many of the most prominent researchers  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Scott T Chapman; Sarah Glaz
ISBN: 0792364929 9780792364924
OCLC Number: 44425468
Description: x, 479 pages ; 25 cm.
Contents: Preface. 1. GCD Domains, Gauss' Lemma, and Contents of Polynomials; D.D. Anderson. 2. The Class Group and Local Glass Group of an Integral Domain; D.F. Anderson. 3. Mori Domains; V. Barucci. 4. What's New About Integer-Valued Polynomials on a Subset? P.-J. Cahen, J.-L. Chabert. 5. Half-Factorial Domains, a Survey; S.T. Chapman, J. Coykendall. 6. On Generalized Lengths of Factorizations in Dedekind and Krull Domains; S.T. Chapman, et al. 7. Recent Progress on Going-Down I; D.E. Dobbs. 8. Localizing Systems and Semistar Operations; M. Fontana, J.A. Huckaba. 9. Ideal Theory in Pullbacks; S. Gabelli, E. Houston. 10. Commutative Rings of Dimension 0; R. Gilmer. 11. Finite Conductor Rings with Zero Divisors; S. Glaz. 12. Construction of Ideal Systems with Nice Noetherian Properties; F. Halter-Koch. 13. Generalized Local Rings and Finite Generation of Powers of Ideals; W. Heinzer, M. Roitman. 14. Connecting Trace Properties; J.A. Huckaba, I. Papick. 15. Constructing Examples of Integral Domains by Intersecting Valuation Domains; K.A. Loper. 16. Examples Built with D+M, A+XB[X] and Other Pullback Constructions; T.G. Lucas. 17. T-Closedness; G. Picavet, M. Picavet-L'Hermitte. 18. E-rings and Related Structures; C. Vinsonhaler. 19. Prime Ideals and Decompositions of Modules; R. Wiegand, S. Wiegand. 20. Putting t-Invertibility to Use; M. Zafrullah. 21. One Hundred Problems in Commutative Ring Theory; S.T. Chapman, S. Glaz. Index.
Series Title: Mathematics and its applications (Kluwer Academic Publishers), v. 520.
Responsibility: edited by Scott T. Chapman and Sarah Glaz.

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