Investigating the correspondence between systems of partial differential equations and their
analytic solutions using a formal approach, this monograph presents algorithms to …

Let A be a finite dimensional algebra over an algebraically closed field k. Assume A is basic
connected with n pairwise non-isomorphic simple modules. We consider the Coxeter …

Previously we showed that the tensor product of a weight module over a generalized Weyl
algebra (GWA) with a weight module over another GWA is a weight module over a third …

Given a field F, a scalar λ∈ F and a matrix A∈ F n× n, the twisted centralizer code CF (A,
λ):={B∈ F n× n| AB− λ BA= 0} is a linear code of length n 2 over F. When A is cyclic and λ≠ …

This paper provides a new algorithm for the formal reduction of linear differential systems
with Laurent series coefficients. We show how to obtain a decomposition of Balser, Jurkat …

Similarly to the correspondence between radical ideals of a polynomial ring and varieties in
algebraic geometry, a correspondence between radical differential ideals and their analytic …

Computing the relations for the coefficients satisfied by the characteristic polynomial of the
Kronecker product of a general n× n matrix by a general m× m matrix leads to an elimination …

Résumé Cette thèse est composée de quatre chapitres. Dans le premier chapitre, nous
donnons quelques rappels sur les anneaux et les corps finis. Le deuxième chapitre est …

Given a field $ F $, a scalar $\lambda\in F $ and a matrix $ A\in F^{n\times n} $, the twisted
centralizer code $ C_F (A,\lambda):=\{B\in F^{n\times n}\mid AB-\lambda BA= 0\} $ is a linear …

This is the second paper in a series of two in which a global algebraic number theory of the
reals is formulated with the purpose of providing a unified setting for algebraic and …