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Factorization in Integral Domains [Minkštas viršelis]

(University of Iowa, Iowa City, USA)
  • Formatas: Paperback / softback, 448 pages, aukštis x plotis: 246x174 mm, weight: 771 g
  • Serija: Lecture Notes in Pure and Applied Mathematics
  • Išleidimo metai: 22-Apr-1997
  • Leidėjas: Routledge
  • ISBN-10: 0824700325
  • ISBN-13: 9780824700324
Kitos knygos pagal šią temą:
  • Formatas: Paperback / softback, 448 pages, aukštis x plotis: 246x174 mm, weight: 771 g
  • Serija: Lecture Notes in Pure and Applied Mathematics
  • Išleidimo metai: 22-Apr-1997
  • Leidėjas: Routledge
  • ISBN-10: 0824700325
  • ISBN-13: 9780824700324
Kitos knygos pagal šią temą:
Combines the proceedings of a conference on factorization and a session of the American Mathematical Society's annual meeting on commutative ring theory both held in Iowa City in March 1996. Of the 25 papers, the main five ones survey the topics of elasticity; finitely generated monoids, finitely primary monoids, and factorization properties; the sets of lengths and associated combinatorial problems of Krull domains and monoids; the catenary degree and tameness of factorizations in weakly Krull domains; and the theory of divisibility. Other topics include the factorization of bonds and other cash flows, Henselian pullbacks, general integral closures, and coefficient and stable ideals in polynomial rings. Annotation c. by Book News, Inc., Portland, Or.

The contents in this work are taken from both the University of Iowa's Conference on Factorization in Integral Domains, and the 909th Meeting of the American Mathematical Society's Special Session in Commutative Ring Theory held in Iowa City. The text gathers current work on factorization in integral domains and monoids, and the theory of divisibility, emphasizing possible different lengths of factorization into irreducible elements.
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: Hazletts 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
Daniel Anderson