The Euler Characteristic of a Finitely Generated Module of Finite Injective Dimension.
The explicit reciprocity law and the cohomology of Fontaine-Messing
The fundamental theorem for the projective line over commutative rings. (Short Communication).
The fundamental theorem for the projective line over commutative rings.
The Gorenstein Property Depends on Characteristic
The group of automorphisms of a commutative algebra.
The -vector of a Gorenstein toric ring of a compressed polytope.
The Heigth of Ideals and Regular Sequences.
The Hilbert series of some graded algebras and the Poincaré series of some local rings.
The Hilbert-Kunz Function.
The homological theory of maximal Cohen-Macaulay approximations
The index of a vector field tangent to a hypersurface and the signature of the relative jacobian determinant
Given a real analytic vector field tangent to a hypersurface with an algebraically isolated singularity we introduce a relative Jacobian determinant in the finite dimensional algebra associated with the singularity of the vector field on . We show that the relative Jacobian generates a 1-dimensional non-zero minimal ideal. With its help we introduce a non-degenerate bilinear pairing, and its signature measures the size of this point with sign. The signature satisfies a law of conservation of...
The Koszul Algebra of a Codimension 2 Embedding.
The last coefficient of the Samuel polynomial
The last coefficient of the Samuel polynomial
The Lazarsfeld-Rao problem for Buchsbaum curves
The Milnor ring of a local ring
The non-vanishing of the deviations of a local ring.
The order of algebras with nontrivial fixed point subalgebras.
The Primary components of and Integral Closures of Ideals in 3-Dimensional Regular Local Rings.