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Rings, Modules and Codes
This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12-15, 2017, at the University of Artois, Lens, France. The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementw...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2019.
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| Colección: | Contemporary Mathematics Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title page; Contents; Preface; Rings whose proper images are almost self-injective; Introduction; 1. Main result; References; Enveloping skewfields of the nilpotent positive part and the Borel subsuperalgebra of \large (1,2); Introduction; 1. Analogues of Weyl algebras for polynomial superalgebras; 2. The Lie superalgebra (1,2) and its enveloping algebra; 3. Proof of the main theorem; References; The Krull-Schmidt-Remak-Azumaya Theorem for -groups; 1. Introduction; 2.-groups and other algebraic structures; 3.-groups, their category, and their properties
- 4. The Krull-Schmidt-Remak-Azumaya Theorem for -groups5. Fitting's Lemma for -groups in _{ }; Acknowledgements; References; Good codes from metacyclic groups; 1. Introduction; 2. Construction of non central idempotents; 3. Examples; 4. Left Dihedral Codes; References; The prime ideals and simple weight modules of the algebra (¡"₃); 1. Introduction; 2. Prime ideals of the algebra; 3. A classification of simple weight -modules; References; -torsion clean rings; 1. Introduction; 2. Preliminaries and Examples; 3. Strongly -torsion clean rings; References
- Generating characters of non-commutative Frobenius rings1. Introduction; 2. Generating Characters; 3. The Socle and Generating Characters; 4. Conclusion; References; Constacyclic codes over local rings of order 16; 1. Introduction; 2. Definitions and Notations; 3. Constacyclic Codes Over Local Frobenius Rings of Order 16; References; Skew Reed-Muller codes; 1. Introduction; 2. Iterated skew polynomial rings; 3. Left ideal Gröbner bases and skew Reed-Muller codes; 4. Skew Reed-Muller codes over finite chain rings; References
- The extension theorem for bi-invariant weights over Frobenius rings and Frobenius bimodules1. Introduction; 2. Preliminaries; 3. Some Computations; 4. The Main Theorem; 5. Example; 6. Other Alphabets; References; Dual skew codes from annihilators: Transpose Hamming ring extensions; Introduction; 1. Transpose ring extensions and dual codes; 2. Dual left ideal convolutional codes; 3. Dual of skew constacyclic codes; 4. Dual of skew Reed-Solomon codes; References; Injective hulls of simple modules over nilpotent Lie color algebras; 1. Introduction
- 2. Cocycle Twists of Associative Graded Algebras and Property (⋄)3. Cocycle twists of Lie color algebras; 4. Nilpotent Lie algebras of almost maximal index; 5. Acknowledgments; References; -rings generated by its idempotents; 1. Introduction; 2. Preliminaries; 3. The Results; 4. Examples; Acknowledgments; References; On radicals of graded ring constructions; 1. Introduction; 2. Preliminaries; 3. Graded semigroup rings; References; Simple ambiskew polynomial rings II: Non-bijective endomorphisms; 1. Introduction; 2. Preliminaries; 3. Simplicity; 4. Primality; 5. Hyperbolic algebras; References