Noncommutative rings and their applications : International Conference on Noncommutative Rings and Their Applications, July 1-4, 2013, University of Artois, France /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: International Conference on Noncommutative Rings and Their Applications Artois, France
Otros Autores: Dougherty, Steven, 1966- (Editor )
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2015.
Colección:Contemporary mathematics (American Mathematical Society) ; 634.
Temas:
Noncommutative rings > Congresses.
Rings (Algebra) > Congresses.
Anneaux non commutatifs > Congrès.
Anneaux (Algèbre) > Congrès.
Noncommutative rings
Rings (Algebra)
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Title page
  • Contents
  • Preface
  • Leavitt Path Algebras of Cayley Graphs Arising from Cyclic Groups
  • References
  • Characterizations of Almost Injective Modules
  • 1. Introduction and Definitions
  • 2. Main Result
  • 3. Applications
  • 4. Almost self-injectivity
  • References
  • Automorphism-Invariant Modules
  • 1. Introduction
  • 2. When is an automorphism-invariant module quasi-injective
  • 3. Endomorphism rings and structure of automorphism- invariant modules
  • 4. Properties of automorphism-invariant modules
  • 5. Automorphism-invariant Leavitt path algebras6. Modules invariant under automorphisms of their pure-injective envelope
  • References
  • Distributive Algebras, Isoclinism, and Invariant Probabilities
  • 1. Introduction
  • 2. Preliminaries
  • 3. Distributive algebras
  • 4. Isoclinism and isologism
  • 5. Applications
  • References
  • Ideals of the Enveloping Algebra (â??)
  • 1. Introduction
  • 2. Motivation
  • 3. The enveloping algebra as an adjoint module
  • 4. A generalized Weyl algebra
  • 5. Main results
  • 6. Computational results
  • 7. The remaining proofs8. Example
  • References
  • On Second Submodules
  • 1. Introduction
  • 2. Second Submodules and Attached Primes
  • 3. Second Radical Of Modules
  • References
  • Open Problems in Coding Theory
  • 1. Introduction
  • 2. Definitions and Notations
  • 3. Fundamental Problem of Coding Theory
  • 4. Duality for non-Abelian groups
  • 5. Designs and Codes
  • 6. MDS Codes
  • 7. Doubly-even binary codes
  • 8. Codes and Lattices
  • 9. Self-Dual Codes
  • 10. Decoding Algorithms
  • 11. Bounds on Codes
  • 12. Covering Radius
  • 13. Cyclic Codes14. Optimal 2-error Correcting Codes
  • 15. Virtually Self-Dual Weight Enumerator
  • References
  • Foundations of Algebraic Coding Theory
  • 1. Introduction
  • 2. Classical Coding Theory
  • 3. Connections of Coding Theory in Mathematics
  • 4. The Gray Map and a Shock to Classical Coding Theory
  • 5. Cyclic Codes over â??_{ }
  • 6. Frobenius Rings
  • 7. Chinese Remainder Theorem
  • 8. Generators of codes
  • 9. Self-Dual Codes
  • 10. Generalizations for Hamming Weight
  • References
  • Counting â??â??â??â??-Additive Codes
  • 1. Introduction2. Free codes
  • 3. Additive Codes
  • References
  • From Endomorphism Rings to Some Noteworthy Ideals in Categories of Modules
  • 1. Semilocal Rings
  • 2. Rings and modules of finite type
  • 3. Local functors and Jacobson radical
  • 4. The canonical functor \Cal â??\Cal /\Cal â??Ã?â€?Ã?\Cal /\Cal _{ }
  • 5. Semilocal Categories
  • 6. Examples and applications
  • 7. Birkhoffâ€?s Theorem for skeletally small preadditive categories and \Mod
  • References
  • Lie and Jordan Properties in Group Algebras
  • 1. Basic Definitions

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