A corollary to the Evans-Griffith Syzygy theorem
A note on indecomposable projective modules
A Product Theorem for Lattices over Orders.
A Sharp Bound for the Minimal Number of Generators of Perfect Height Two Ideals.
Algebras with finitely generated invariant subalgebras
We classify all finitely generated integral algebras with a rational action of a reductive group such that any invariant subalgebra is finitely generated. Some results on affine embeddings of homogeneous spaces are also given.
Algèbres localement polynomiales
An algorithm to compute the kernel of a derivation up to a certain degree
An algorithm is described which computes generators of the kernel of derivations on k[X₁,...,Xₙ] up to a previously given bound. For w-homogeneous derivations it is shown that if the algorithm computes a generating set for the kernel then this set is minimal.
An example concerning the embedded primes associated with an ideal in the ring of polynomials.
An extension of Iwasawa's theorem on finitely generated modules over power series rings.
Anneaux de Goldman