Tensor products of modules and the rigidity of Tor.
Tensor products of modules, rigidity and local cohomology.
Tensor products of symmetric functions over ℤ2
We calculate the homology and the cycles in tensor products of algebras of symmetric function over ℤ2
Testing flatness and computing rank of a module using syzygies
Using syzygies computed via Gröbner bases techniques, we present algorithms for testing some homological properties for submodules of the free module , where A = R[x₁,...,xₙ] and R is a Noetherian commutative ring. We will test if a given submodule M of is flat. We will also check if M is locally free of constant dimension. Moreover, we present an algorithm that computes the rank of a flat submodule M of and also an algorithm that computes the projective dimension of an arbitrary submodule...
The amalgamated duplication of a ring along a semidualizing ideal
The André-Quillen homology of commutative graded algebras
The Brauer Group of A [T].
The category of cofinite modules for ideals of dimension one and codimension one
The cohomological dimension of the ordered set of real numbers equals three
The cohomological dimension of the quotient field of the two dimensional complete local domain
The Conductor of one-dimensional Gorenstein Rings in their blowing-up.
The cones associated to some tranversal polymatroids.
The connection between a conjecture of Carlisle and Kropholler, now a theorem of Benson and Crowley-Boevey, and Grothendieck's Riemannian-Roch and duality theorems.
The Construction of a Module of Finite Projective Dimension from a Finitely Generated Module of Finite Injective Dimension.
The cyclic homology and K-theory of curves.
The Elements of K2 (...s).
The embedding dimension of the formal Moduli space of certain curve singularities.
The equations of space curves on a quadric.
The homogeneous ideals of curves in a double plane have been studied by Chiarli, Greco, Nagel. Completing this work we describe the equations of any curve that is contained in some quadric. As a consequence, we classify the Hartshorne-Rao modules of such curves.
The existence of equivariant pure free resolutions
Let be a polynomial ring in variables and let be a strictly increasing sequence of integers. Boij and Söderberg conjectured the existence of graded -modules of finite length having pure free resolution of type in the sense that for the -th syzygy module of has generators only in degree .This paper provides a construction, in characteristic zero, of modules with this property that are also -equivariant. Moreover, the construction works over rings of the form where is a polynomial...
The finite free extension of artinian -algebras with the strong Lefschetz property