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
C-anneaux, E-anneaux et formule de la dimension
Cardinality of generating sets for modules over a commutative ring.
Choosing Generators of Modules over Local Rings.
Constructions of finitely generated submodules of constructively noetherian modules
Correction and Complements to "On the Symmetric and Rees Algebras of an Ideal"
Efficient generation of zero dimensional ideals in polynomial rings.
Equations for the set of overrings of normal rings and related ring extensions
We establish several finiteness characterizations and equations for the cardinality and the length of the set of overrings of rings with nontrivial zero divisors and integrally closed in their total ring of fractions. Similar properties are also obtained for related extensions of commutative rings that are not necessarily integral domains. Numerical characterizations are obtained for rings with some finiteness conditions afterwards.
Finite dimensional rings of quotients.
In this paper we characterize commutative rings with finite dimensional classical ring of quotients. To illustrate the diversity of behavior of these rings we examine the case of local rings and FPF rings. Our results extend earlier work on rings with zero-dimensional rings of quotients.
Finite Polynomial Orbits in Finitely Generated Domains.
Finitely generated Ext algebras.