4 papers · 1 filter
Zeros with multiplicity, Hasse derivatives and linear factors of general skew polynomials
Umberto Martínez-Peñas
In this work, multiplicities of zeros of skew polynomials are studied. Two distinct definitions are considered: First, is said to be a zero of of multiplicity if…
Theory and applications of linearized multivariate skew polynomials
Umberto Martínez-Peñas
In this work, linearized multivariate skew polynomials over division rings are introduced. Such polynomials are right linear over the corresponding centralizer and generalize linea…
Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables
Umberto Martínez-Peñas
In this work, free multivariate skew polynomial rings are considered, together with their quotients over ideals of skew polynomials that vanish at every point (which includes minim…
Evaluation and interpolation over multivariate skew polynomial rings
Umberto Martínez-Peñas, Frank R. Kschischang
The concepts of evaluation and interpolation are extended from univariate skew polynomials to multivariate skew polynomials, with coefficients over division rings. Iterated skew po…