ENGLISH

Ideal Theoretic Methods in Commutative Algebra, in Honor of James A. Huckaba's Retirement

By Daniel D. Anderson; Ira J. Papick

Book information

Publisher
CRC Press
Year
2019
ISBN
1138401749, 9781138401747
Language
english
Format
PDF
Filesize
37 MB (38584829 bytes)
Series
Lecture Notes In Pure And Applied Mathematics 220
Pages
x+358\375
Topic
Mathematics Algebra
Time added
2020-02-16 05:42:40

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

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