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Modules and Comodules

  • Conference proceedings
  • © 2008

Overview

Editors:
  1. Tomasz Brzeziński

    1. Department of Mathematics, Swansea University, Swansea, Wales, UK

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  2. José Luis Gómez Pardo

    1. Departamento de Alxebra, Universidade de Santiago, Santiago de Compostela, Spain

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  3. Ivan Shestakov

    1. Instituto de Matemática e Estatística da, Universidade de São Paulo (IME-USP), São Paulo - SP, Brasil

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  4. Patrick F. Smith

    1. Department of Mathematics, University of Glasgow, Glasgow, Scotland,UK

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  • Presents a unique combination of topics in the theory of rings and modules, bringing together in one volume some topics with a long tradition and other more recent ones and showing the fruitful dialogue that exists between the different topics covered
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (22 papers)

  1. Front Matter

    Pages i-xii
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  2. Injective Morita Contexts (Revisited)

    • J. Y. Abuhlail, S. K. Nauman
    Pages 1-30

  3. A Categorical Proof of a Useful Result

    • A. Ardizzoni, C. Menini
    Pages 31-45

  4. On Nichols Algebras with Generic Braiding

    • Nicolás Andruskiewitsch, Iván Ezequiel Angiono
    Pages 47-64

  5. Dual Algebras of Some Semisimple Finite-dimensional Hopf Algebras

    • V. A. Artamonov, I. A. Chubarov
    Pages 65-85

  6. Balanced Bilinear Forms for Corings

    • M. Beattie, D. Bulacu, Ş. Raianu
    Pages 87-99

  7. Ring Hulls of Semiprime Homomorphic Images

    • Gary F. Birkenmeier, Jae Keol Park, S. Tariq Rizvi
    Pages 101-111

  8. Notes on Formal Smoothness

    • Tomasz Brzeziński
    Pages 113-124

  9. Certain Chain Conditions in Modules over Dedekind Domains and Related Rings

    • Esperanza Sanchez Campos, Patrick F. Smith
    Pages 125-141

  10. τ-Injective Modules

    • Stelios Charalambides, John Clark
    Pages 143-168

  11. A Note on Polynomial Rings over Nil Rings

    • M. A. Chebotar, W. -F. Ke, P. -H. Lee, E. R. Puczyłowski
    Pages 169-172

  12. QI-modules

    • John Dauns, Yiqiang Zhou
    Pages 173-183

  13. Corings with Exact Rational Functors and Injective Objects

    • L. El Kaoutit, J. Gómez-Torrecillas
    Pages 185-201

  14. Preradicals of Associative Algebras and their Connections with Preradicals of Modules

    • M. Luísa Galvão
    Pages 203-225

  15. On the Construction of Separable Modules

    • P. A. Guil Asensio, M. C. Izurdiaga, B. Torrecillas
    Pages 227-241

  16. Essential Extensions of a Direct Sum of Simple Modules-II

    • S. K. Jain, Ashish K. Srivastava
    Pages 243-246

  17. Pseudo-Galois Extensions and Hopf Algebroids

    • Lars Kadison
    Pages 247-264

  18. Cohereditary Modules in σ[M]

    • Derya Keskin Tütüncü, Nil Orhan Ertaş, Rachid Tribak
    Pages 265-279

  19. When Maximal Linearly Independent Subsets of a Free Module Have the Same Cardinality?

    • Farid Kourki
    Pages 281-293

  20. Embedding Group Algebras into Finite von Neumann Regular Rings

    • Peter A. Linnell
    Pages 295-300
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Keywords

About this book

The 23 articles in this volume encompass the proceedings of the International Conference on Modules and Comodules held in Porto (Portugal) in 2006 and dedicated to Robert Wisbauer on the occasion of his 65th birthday. These articles reflect Professor Wisbauer's wide interests and give an overview of different fields related to module theory, some of which have a long tradition whereas others have emerged in recent years. They include topics in the formal theory of modules bordering on category theory, in ring theory, in Hopf algebras and quantum groups, and in corings and comodules.

Editors and Affiliations

  • Department of Mathematics, Swansea University, Swansea, Wales, UK

    Tomasz Brzeziński

  • Departamento de Alxebra, Universidade de Santiago, Santiago de Compostela, Spain

    José Luis Gómez Pardo

  • Instituto de Matemática e Estatística da, Universidade de São Paulo (IME-USP), São Paulo - SP, Brasil

    Ivan Shestakov

  • Department of Mathematics, University of Glasgow, Glasgow, Scotland,UK

    Patrick F. Smith

Bibliographic Information

  • Book Title: Modules and Comodules

  • Editors: Tomasz Brzeziński, José Luis Gómez Pardo, Ivan Shestakov, Patrick F. Smith

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-7643-8742-6

  • Publisher: Birkhäuser Basel

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

  • Copyright Information: Birkhäuser Basel 2008

  • Hardcover ISBN: 978-3-7643-8741-9Published: 16 May 2008

  • eBook ISBN: 978-3-7643-8742-6Published: 26 June 2008

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: XII, 355

  • Topics: Algebra

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