Gorenstein rings with transcendental Poincaré-series.
Let be finite dimensional -algebra which is a complete intersection, i.e. whith a regular sequences . Steve Halperin conjectured that the connected component of the automorphism group of such an algebra is solvable. We prove this in case is in addition graded and generated by elements of degree 1.
This paper deals with the notion of Gröbner δ-base for some rings of linear differential operators by adapting the works of W. Trinks, A. Assi, M. Insa and F. Pauer. We compare this notion with the one of Gröbner base for such rings. As an application we give some results on finiteness and on flatness of finitely generated left modules over these rings.