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Multiplicative Ideal Theory and Factorization Theory

Commutative and Non-commutative Perspectives

  • Scott Chapman
  • Marco Fontana
  • Alfred Geroldinger
  • Bruce Olberding

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 170)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Evrim Akalan, Hidetoshi Marubayashi
    Pages 1-21
  3. David Adam, Jean-Luc Chabert
    Pages 23-42
  4. Kálmán Cziszter, Mátyás Domokos, Alfred Geroldinger
    Pages 43-95
  5. Marco D’Anna
    Pages 97-115
  6. Carmelo A. Finocchiaro, Marco Fontana, Dario Spirito
    Pages 117-143
  7. K. Alan Loper, Mark Syvuk
    Pages 219-231
  8. Thomas G. Lucas
    Pages 233-254
  9. Jan Okniński
    Pages 255-276
  10. Giulio Peruginelli, Luigi Salce, Paolo Zanardo
    Pages 309-322
  11. Back Matter
    Pages 403-407

About these proceedings

Introduction

This book consists of both expository and research articles solicited from speakers at the conference entitled "Arithmetic and Ideal Theory of Rings and Semigroups," held September 22–26, 2014 at the University of Graz, Graz, Austria. It reflects recent trends in multiplicative ideal theory and factorization theory, and brings together for the first time in one volume both commutative and non-commutative perspectives on these areas, which have their roots in number theory, commutative algebra, and algebraic geometry. Topics discussed include topological aspects in ring theory, Prüfer domains of integer-valued polynomials and their monadic submonoids, and semigroup algebras. It will be of interest to practitioners of mathematics and computer science, and researchers in multiplicative ideal theory, factorization theory, number theory, and algebraic geometry.

Keywords

commutative ring theory factorization theory multiplicative ideal theory non-commutative algebra class semigroup quasi finite semigroup catenary degree tame degree local tameness weakly C-monoid coherent domain Krull domain atomic domain HFD pseudovaluation domain Zariski-Riemann space valuation ring spectral space Dedekind domains

Editors and affiliations

  • Scott Chapman
    • 1
  • Marco Fontana
    • 2
  • Alfred Geroldinger
    • 3
  • Bruce Olberding
    • 4
  1. 1.Dept of Math & StatSam Houston State UniversityHuntsvilleUSA
  2. 2.Dipartimento di Matematica e FisicaUniversità degli Studi Roma TreRomeItaly
  3. 3.Institut für Mathematik und Wissenschaftliches RechnenUniversität GrazGrazAustria
  4. 4.Dept. Mathematical SciencesNew Mexico State UniversityLas CrucesUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-38855-7
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-38853-3
  • Online ISBN 978-3-319-38855-7
  • Series Print ISSN 2194-1009
  • Series Online ISSN 2194-1017
  • Buy this book on publisher's site