Ideal Theoretic Methods in Commutative Algebra
1st Edition
Published on 7. June 2019
Book
Hardback
376 pages
978-1-138-40174-7 (ISBN)
Description
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 with zero divisors.
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
Professional
Dimensions
Height: 260 mm
Width: 183 mm
Thickness: 25 mm
Weight
901 gr
ISBN-13
978-1-138-40174-7 (9781138401747)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Daniel Anderson
Ideal Theoretic Methods in Commutative Algebra
E-Book
05/2019
1st Edition
CRC Press
€377.99
Available for download
Daniel Anderson
Ideal Theoretic Methods in Commutative Algebra
E-Book
05/2019
CRC Press
€377.99
Available for download
Daniel Anderson
Ideal Theoretic Methods in Commutative Algebra
Book
05/2001
1st Edition
CRC Press
€352.83
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Person
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.
Content
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