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Non-Associative and Non-Commutative Algebra and Operator Theory

NANCAOT, Dakar, Senegal, May 23–25, 2014: Workshop in Honor of Professor Amin Kaidi

  • Conference proceedings
  • © 2016

Overview

Editors:
  1. Cheikh Thiécoumbe Gueye

    1. Departement de Mathematiques et Informatique, Faculté des Sciences et Techniques, Université Cheikh Anta Diop, Dakar, Senegal

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  2. Mercedes Siles Molina

    1. Department of Álgebra, Geometría y Topología, Facultad de Ciencias, Universidad de Málaga, Málaga, Spain

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Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 160)

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Table of contents (18 papers)

  1. Front Matter

    Pages i-x
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  2. Invited Talks

    1. Front Matter

      Pages 1-1
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    2. Group Theory and the Capitulation Problem for Some Number Fields

      • Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous
      Pages 3-26

    3. On Space-Time Codes Arising from Free Modules and Algebras over an Integral Domain

      • Mhammed Boulagouaz, Abdulaziz Deajim
      Pages 27-39

    4. Graded Modules over Superconformal Algebras

      • Consuelo Martı́nez, Efim Zelmanov
      Pages 41-53

    5. On Deformations of n-Lie Algebras

      • Abdenacer Makhlouf
      Pages 55-81

    6. Morita Equivalence and Morita Invariant Properties: Applications in the Context of Leavitt Path Algebras

      • Mercedes Siles Molina, José F. Solanilla Hernández
      Pages 83-103

    7. On Commuting U-Operators in Jordan Algebras

      • Ivan Shestakov
      Pages 105-109

  3. Contributed Talks

    1. Front Matter

      Pages 111-111
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    2. Gradings on Algebras over Algebraically Closed Fields

      • Alberto Elduque
      Pages 113-121

    3. On the Set of Artinian Subrings of Infinite Products of Rings

      • D. Karim, S. Zarzuela
      Pages 123-136

    4. Noncommutative Gröbner Basis over a Divisible and Annihilable Ring

      • Nafissatou Diarra, Djiby Sow
      Pages 137-157

    5. Some Properties of Mono-correct and Epi-correct Modules

      • Anta Niane Gueye
      Pages 159-164

    6. Strongly Split Poisson Algebras

      • Antonio J. Calderón Martı́n, Diouf Mame Cheikh
      Pages 165-174

    7. On the Pólya Group of Some Imaginary Biquadratic Fields

      • Mohammed Taous
      Pages 175-182

    8. Localization in a Duo-Ring and Polynomials Algebra

      • Daouda Faye, Mohamed Ben Fraj Ben Maaouia, Mamadou Sanghare
      Pages 183-191

    9. Connections Techniques in Graded Morita Rings Theory

      • Antonio J. Calderón Martı́n, Magatte Fall
      Pages 193-200

    10. Basic and Free Simplicity of Lorentz Type Algebras

      • Pablo Alberca Bjerregaard, Dolores Martı́n Barquero, Cándido Martı́n González, Daouda Ndoye
      Pages 201-209

    11. On the Real Forms of the Exceptional Lie Algebra \(\mathfrak{e}_{6}\) and Their Satake Diagrams

      • Cristina Draper Fontanals, Valerio Guido
      Pages 211-226

    12. Linear Recurring Sequences over Zero-Sum Semirings

      • Lamine Ngom, Omar Diankha, Djiby Sow
      Pages 227-238
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Keywords

About this book

Presenting the collaborations of over thirty international experts in the latest developments in pure and applied mathematics, this volume serves as an anthology of research with a common basis in algebra, functional analysis and their applications. Special attention is devoted to non-commutative algebras, non-associative algebras, operator theory and ring and module theory. These themes are relevant in research and development in coding theory, cryptography and quantum mechanics. 

The topics in this volume were presented at the Workshop on Non-Associative & Non-Commutative Algebra and Operator Theory, held May 23—25, 2014 at Cheikh Anta Diop University in Dakar, Senegal in honor of Professor Amin Kaidi. The workshop was hosted by the university's Laboratory of Algebra, Cryptology, Algebraic Geometry and Applications, in cooperation with the University of Almería and the University of Málaga. Dr. Kaidi'swork focuses on non-associative rings and algebras, operator theory and functional analysis, and he has served as a mentor to a generation of mathematicians in Senegal and around the world. 

Editors and Affiliations

  • Departement de Mathematiques et Informatique, Faculté des Sciences et Techniques, Université Cheikh Anta Diop, Dakar, Senegal

    Cheikh Thiécoumbe Gueye

  • Department of Álgebra, Geometría y Topología, Facultad de Ciencias, Universidad de Málaga, Málaga, Spain

    Mercedes Siles Molina

Bibliographic Information

  • Book Title: Non-Associative and Non-Commutative Algebra and Operator Theory

  • Book Subtitle: NANCAOT, Dakar, Senegal, May 23–25, 2014: Workshop in Honor of Professor Amin Kaidi

  • Editors: Cheikh Thiécoumbe Gueye, Mercedes Siles Molina

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-319-32902-4

  • Publisher: Springer Cham

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

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-32900-0Published: 22 November 2016

  • Softcover ISBN: 978-3-319-81394-3Published: 23 June 2018

  • eBook ISBN: 978-3-319-32902-4Published: 21 November 2016

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: X, 254

  • Number of Illustrations: 237 b/w illustrations

  • Topics: Non-associative Rings and Algebras, Operator Theory, Commutative Rings and Algebras

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