Non-Associative and Non-Commutative Algebra and Operator Theory

1. Front Matter

   Pages i-x

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2. Invited Talks

   1. Front Matter

      Pages 1-1

      PDF

   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

      PDF

   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

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. 

• non-associative algebras
• non-commutative algebras
• operator theory and normed algebras
• ring and module theory
• Morita ring
• graded ring
• structure theory
• non-commutative Gröbner bases
• Poisson algebra
• Duo-ring

• 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

Policies and ethics