Ideal Theoretic Methods in Commutative Algebra (eBook, PDF)

Redaktion: Anderson, Daniel; Patrick, Ira J.

• Format: PDF

Produktbeschreibung

Includes current work of 38 renowned contributors that details the diversity of thought in the fields of commutative algebra and multiplicative ideal theory. Summarizes recent findings on classes of going-down domains and the going-down property, emphasizing new characterizations and applications, as well as generalizations for commutative rings wi

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 376
• Erscheinungstermin: 7. Mai 2019
• Englisch
• ISBN-13: 9781482294613
• Artikelnr.: 56578623

Autorenporträt

DANIEL D. ANDERSON is Professor of Mathematics at the University oflowa, Iowa City. He is the editor of Factorization in Integral Domains and author or coauthor of over 100 journal publications and book chapters, including several in Zero-Dimensional Commutative Rings and Commutative Ring Theory: Proceedings of the II International Conference (all titles, Marcel Dekker, Inc.). A member of the American Mathematical Society and the Mathematical Association of America, Dr. Anderson received the B.A. degree (1971) from the University of Iowa, Iowa City, and the M.S. (1971) and Ph.D. (1974) degrees from the University of Chicago, Illinois. IRA J. PAPICK is Professor of Mathematics at the University of Missouri, Columbia. The author or coauthor of many key professional papers, as well as the book Prufer Domains (Marcel Dekker, Inc.), Dr. Papick is a member of the American Mathematical Society. He received the Ph.D. degree (1975) in mathematics from Rutgers University, New Brunswick, New Jersey.

Inhaltsangabe

Preface
Contributors
1. F-Rational Rings and the Integral Closures of Ideals II
2. Cancellation Modules and Related Modules
3. Abstract Ideal Theory from Krull to the Present
4. Conditions Equivalent to Seminormality in Certain Classes of Commutative Rings
5. The Zero-Divisor Graph of a Commutative Ring
II
6. Some Examples of Locally Divided Rings
7. On the Dimension of the Jacquet Module of a Certain Induced Representation
8. m-Canonical Ideals in Integral Domains II
9. The t- and v-Spectra of the Ring of Integer-Valued Polynomials Over a Valuation Domain
10. Weakly Factorial Rings with Zero Divisors
11. Equivalence Classes of Minimal Zero-Sequences Modulo a Prime
12. Towards a Criterion for Isomorphisms of Complexes
13. Ideals Having a One-Dimensional Fiber Cone
14. Recent Progress on Going-Down II
15. Kronecker Function Rings: A General Approach
16. On the Complete Integral Closure of the Rees Algebra
17. A New Criterion for Embeddability in a Zero-Dimensional Commutative Ring
18. Finite Conductor Properties of R(X) and R
19. Building Noetherian and Non-Noetherian Integral Domains Using Power Series
20. Integrality Properties in Rings with Zero Divisors
21. Prime-Producing Cubic Polynomials
22. Stability of Ideals and Its Applications
23. Categorically Domains: Highlighting the (Domain) Work of James A. Huckaba
Index