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Ring and Module Theory

  • Conference proceedings
  • © 2010

Overview

Editors:
  1. Toma Albu

    1. “Simion Stoilow” Institute of Mathematics of the Romanian Academy, Romania

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  2. Gary F. Birkenmeier

    1. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, USA

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  3. Ali Erdoğgan

    1. Department of Mathematics, Hacettepe University, Ankara, Turkey

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  4. Adnan Tercan

    1. Department of Mathematics, Hacettepe University, Ankara, Turkey

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  • Proceedings of one of the largest conferences held in the Middle East on ring and module theory with speakers from over 25 countries
  • Expository/survey articles from world renowned experts in ring theory, module theory, and commutative algebra
  • Includes supplementary material: sn.pub/extras

Part of the book series: Trends in Mathematics (TM)

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Table of contents (13 papers)

  1. Front Matter

    Pages i-vii
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  2. A Seventy Years Jubilee: The Hopkins-Levitzki Theorem

    • Toma Albu
    Pages 1-26

  3. A Theory of Hulls for Rings and Modules

    • Gary F. Birkenmeier, Jae Keol Park, S. Tariq Rizvi, Gary F. Birkenmeier
    Pages 27-71

  4. Rewriting as a Special Case of Noncommutative Gröbner Bases Theory for the Affine Weyl Group à n

    • A. Sinan Çevik, Cenap Özel, Eylem G. Karpuz
    Pages 73-81

  5. A Classification of a Certain Class of Completely Primary Finite Rings

    • Chiteng’a John Chikunji
    Pages 83-90

  6. Higman Ideals and Verlinde-type Formulas for Hopf Algebras

    • Miriam Cohen, Sara Westreich
    Pages 91-114

  7. Right Weakly Regular Rings: A Survey

    • Henry E. Heatherly, Ralph P. Tucci
    Pages 115-123

  8. Substructures of Hom

    • Friedrich Kasch
    Pages 125-128

  9. Weak Lifting Modules with Small Radical

    • Derya Keskin Tütüncü, Saad H. Mohamed
    Pages 129-134

  10. FP-injective Complexes

    • Lixin Mao, Nanqing Ding
    Pages 135-142

  11. A Generalization of Homological Dimensions

    • M. J. Nikmehr, F. Shaveisi
    Pages 143-148

  12. Additive Rank Functions and Chain Conditions

    • Patrick F. Smith
    Pages 149-164

  13. A Note on (α, β)-higher Derivations and their Extensions to Modules of Quotients

    • Lia Vaš, Charalampos Papachristou
    Pages 165-174

  14. Prime Ideals in Noetherian Rings: A Survey

    • Roger Wiegand, Sylvia Wiegand
    Pages 175-193

  15. Back Matter

    Pages 195-200
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Keywords

About this book

This volume features a collection of 13 peer-reviewed contributions consisting of expository/survey articles and research papers by 24 authors. Many of theses contributions were presented at the International Conference on Ring and Module Theory held at Hacettepe University in Ankara, Turkey, from August 18 to 22, 2008. The selected contributions examine wide-ranging and cutting-edge developments in various areas of algebra including ring theory, module theory, Hopf algebras, and commutative algebra. The survey articles are written by well-known experts in their respective areas and provide an overview which is useful for researchers in the area as well as those looking for new or related fields to investigate. The research papers give a taste of current research. The variety of topics will be of interest to both graduate students and researchers.

Editors and Affiliations

  • “Simion Stoilow” Institute of Mathematics of the Romanian Academy, Romania

    Toma Albu

  • Department of Mathematics, University of Louisiana at Lafayette, Lafayette, USA

    Gary F. Birkenmeier

  • Department of Mathematics, Hacettepe University, Ankara, Turkey

    Ali Erdoğgan, Adnan Tercan

Bibliographic Information

  • Book Title: Ring and Module Theory

  • Editors: Toma Albu, Gary F. Birkenmeier, Ali Erdoğgan, Adnan Tercan

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-0346-0007-1

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Birkhäuser Basel 2010

  • Hardcover ISBN: 978-3-0346-0006-4Published: 22 June 2010

  • Softcover ISBN: 978-3-0348-0308-3Published: 07 September 2012

  • eBook ISBN: 978-3-0346-0007-1Published: 04 February 2011

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: VII, 200

  • Topics: Algebra

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