## On a Maple implementation of algorithms for computing Ore closure.

### Ha Le, CECM, SFU

Wednesday November 30th, 2005 at 3:30pm in K9509.

Abstract: We give a brief description of algorithms for computing polynomial torsion modules in algebras of skew polynomials, and present a Maple implementation which covers all three cases: + fixed orbit: differential; + infinite orbit: shift and q-shift where q is not a root of unity; + finite orbit: q-shift where q is a root of unity. We also show a Maple implementation of a particular application of these algorithms: desingularization of linear functional operators with polynomial coefficients. Joint work with F. Chyzak, Ph. Dumas, J. Martins, M. Mishna, and B. Salvy.