Linearized multivariate skew polynomials and hilbert 90 theorems with multivariate norms
ISSN: 1132-6360
Año de publicación: 2018
Título del ejemplar: Proceedings of the XVI EACA Zaragoza Encuentros de Algebra Computacional y Aplicaciones
Número: 43
Páginas: 119-122
Tipo: Artículo
Otras publicaciones en: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza
Resumen
We linearize the concept of free multivariate skew polynomials. We give a vector space description of their sets of roots in one conjugacy class, whose univariate counterpart is crucial in applications such as network coding. As a collateral consequence, we derive new Hilbert 90 theorems for general Galois field extensions. In contrast with the homological versions, these are computational theorems based on multivariate norms that reflect the relations among generators of the corresponding Galois group.