Book 2014

Commutative Algebra

Recent Advances in Commutative Rings, Integer-Valued Polynomials, and Polynomial Functions

Editors:

ISBN: 978-1-4939-0924-7 (Print) 978-1-4939-0925-4 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages i-viii

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    Chapter

    Pages 1-23

    Weak Global Dimension of Prüfer-Like Rings

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    Chapter

    Pages 25-37

    Quasi-complete Semilocal Rings and Modules

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    Chapter

    Pages 39-54

    On the Total Graph of a Ring and Its Related Graphs: A Survey

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    Chapter

    Pages 55-82

    Prime Ideals in Polynomial and Power Series Rings over Noetherian Domains

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    Chapter

    Pages 83-111

    Integer-Valued Polynomials: Looking for Regular Bases (A Survey)

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    Chapter

    Pages 113-117

    On Boolean Subrings of Rings

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    Chapter

    Pages 119-132

    On a New Class of Integral Domains with the Portable Property

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    Chapter

    Pages 133-151

    The Probability That Int n (D) Is Free

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    Chapter

    Pages 153-173

    Some Closure Operations in Zariski-Riemann Spaces of Valuation Domains: A Survey

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    Chapter

    Pages 175-193

    Ten Problems on Stability of Domains

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    Chapter

    Pages 195-211

    The Development of Non-Noetherian Grade and Its Applications

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    Chapter

    Pages 213-223

    Stable Homotopy Theory, Formal Group Laws, and Integer-Valued Polynomials

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    Chapter

    Pages 225-238

    How to Construct Huge Chains of Prime Ideals in Power Series Rings

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    Chapter

    Pages 239-254

    Localizing Global Properties to Individual Maximal Ideals

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    Chapter

    Pages 255-268

    Prime Ideals That Satisfy Hensel’s Lemma

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    Chapter

    Pages 269-291

    Finitely Stable Rings

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    Chapter

    Pages 293-305

    Integral Closure of Rings of Integer-Valued Polynomials on Algebras

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    Chapter

    Pages 307-330

    On Monoids and Domains Whose Monadic Submonoids Are Krull

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    Chapter

    Pages 331-351

    Integral Closure

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    Chapter

    Pages 353-375

    Open Problems in Commutative Ring Theory