A note on involutions in Ore extensions
Skew-polynomial rings, or Ore extensions, constitute an important class in noncommutative ring theory. These structures are currently studied from different points of view such as ideal theory, order theory, Galois theory, homological algebras, etc. Computationally, Ore extensions appear in the cont...
- Autores:
-
Arriagada, Waldo
Ramírez, Hugo
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2017
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/61869
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/61869
http://bdigital.unal.edu.co/60681/
- Palabra clave:
- 51 Matemáticas / Mathematics
Skew polynomials
involution
ring endomorphism
derivation
polinomios torcidos
involución, endomorfismo de anillos
derivación
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | Skew-polynomial rings, or Ore extensions, constitute an important class in noncommutative ring theory. These structures are currently studied from different points of view such as ideal theory, order theory, Galois theory, homological algebras, etc. Computationally, Ore extensions appear in the context of uncoupling and solving systems of linear differential and difference equations in closed form. In this short note we let K denote a division ring, α: K $rarr; K a ring endomorphism and δ: K → K an α-derivation. We determine the involutions in the Ore extension K[x; α, δ]. |
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