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Factorization in Integral Domains,9780824700324
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Factorization in Integral Domains


Edition: 1st
Author(s): Anderson; Daniel
ISBN10:  0824700325
ISBN13:  9780824700324
Format:  Paperback
Pub. Date:  4/22/1997
Publisher(s): CRC

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Table of Contents
Preface iii(4)
Contributors vii
1. Elasticity of Factorizations in Integral Domains: A Survey
1(30)
David F. Anderson
2. Finitely Generated Monoids, Finitely Primary Monoids, and Factorization Properties of Integral Domains
31(42)
Franz Halter-Koch
3. Krull Domains and Monoids, Their Sets of Lengths, and Associated Combinatorial Problems
73(40)
Scott Chapman
Alfred Geroldinger
4. The Catenary Degree and Tameness of Factorizations in Weakly Krull Domains
113(42)
Alfred Geroldinger
5. The Theory of Divisibility
155(34)
Joe Mott
6. Some Generalizations of GCD-Domains
189(8)
D. D. Anderson
Roy Quintero
7. Factorization in Commutative Rings with Zero Divisors, II
197(24)
D. D. Anderson
Silvia Valdes-Leon
8. On t-Invertibility, IV
221(6)
D. D. Anderson
Muhammad Zafrullah
9. Factorization in Subrings of K[X] or K[[X]]
227(16)
David F. Anderson
Jaenam Park
10. Factorization in K[[S]]
243(14)
David F. Anderson
Janice Winner
11. Invariant Theory in Characteristic p: Hazlett's Symbolic Method for Binary Quantics
257(14)
Joseph P. Brennan
12. A Basis for the Ring of Polynomials Integer-Valued on Prime Numbers
271(14)
Jean-Luc Chabert
Scott Chapman
William W. Smith
13. Factorization of Bonds and Other Cash Flows
285(6)
Douglas L. Costa
14. A Characterization of Polynomial Rings With the Half-Factorial Property
291(4)
Jim Coykendall
15. On Characterizations of Prufer Domains Using Polynomials with Unit Content
295(10)
David E. Dobbs
16. On Flat Divided Prime Ideals
305(12)
David E. Dobbs
17. On Henselian Pullbacks
317(10)
David E. Dobbs
18. An Intersection Condition for Prime Ideals
327(6)
Robert Gilmer
19. Genus Class Groups and Separable Base Change
333(16)
Robert Guralnick
Roger Wiegand
20. Generalized Integral Closures
349(10)
Franz Halter-Koch
21. Coefficient and Stable Ideals in Polynomial Rings
359(12)
William Heinzer
David Lantz
22. Almost Generalized GCD-Domains
371(12)
Rebecca L. Lewin
23. Polynomial Behavior of Prime Ideals in Polynomial Rings and the Projective Line Over Z
383(18)
Aihua Li
Sylvia Wiegand
24. Characterizing When R(X) is Completely Integrally Closed
401(16)
Thomas G. Lucas
25. On Root Closure in Noetherian Domains
417(12)
Moshe Roitman
Index 429

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