18 citations · 84 across the 39 of their papers we have counts for
9 papers · 1 filter
Primitive idempotents in central simple algebras over with an application to coding theory
J. Gómez-Torrecillas, P. Kutas, F. J. Lobillo +1
We consider the algorithmic problem of computing a primitive idempotent of a central simple algebra over the field of rational functions over a finite field. The algebra is given b…
Biseparable extensions are not necessarily Frobenius
José Gómez-Torrecillas, F. J. Lobillo, Gabriel Navarro +1
We give necessary and sufficient conditions on an Ore extension , where is a finite dimensional algebra over a field , for being a Frobenius extension ove…
Some remarks on non projective Frobenius algebras and linear codes
José Gómez-Torrecillas, Erik Hieta-aho, F. J. Lobillo +2
With a small suitable modification, dropping the projectivity condition, we extend the notion of a Frobenius algebra to grant that a Frobenius algebra over a Frobenius commutative…
Factoring Ore polynomials over is difficult
Jose Gomez-Torrecillas, F. J. Lobillo, Gabriel Navarro
We show that the effective factorization of Ore polynomials over is still an open problem. This is so because the known algorithm in [1] presents two gaps, and th…
Computing the bound of an Ore polynomial. Applications to factorization
Jose Gomez-Torrecillas, F. J. Lobillo, Gabriel Navarro
We develop a fast algorithm for computing the bound of an Ore polynomial over a skew field, under mild conditions. As an application, we state a criterion for deciding whether a bo…
Prime fuzzy ideals over noncommutative rings
Gabriel Navarro, Oscar Cortadellas, F. J. Lobillo
In this paper we introduce prime fuzzy ideals over a noncommutative ring. This notion of primeness is equivalent to level cuts being crisp prime ideals. It also generalizes the one…