On 0-dimensional complete intersections.
On a Class of 2-Periodic Cohomology Theories.
On a class of Golod homomorphisms.
On a homology of algebras with unit
We present a very general construction of a chain complex for an arbitrary (even non-associative and non-commutative) algebra with unit and with any topology over a field with a suitable topology. We prove that for the algebra of smooth functions on a smooth manifold with the weak topology the homology vector spaces of this chain complex coincide with the classical singular homology groups of the manifold with real coefficients. We also show that for an associative and commutative algebra with unit...
On a result of avramov.
On Almost Complete Intersections.
On Border Basis and Gröbner Basis Schemes.
On Buchsbaum type modules and the annihilator of certain local cohomology modules
We consider the annihilator of certain local cohomology modules. Moreover, some results on vanishing of these modules will be considered.
On Castelnuovo's regularity and Hilbert functions
On co-Gorenstein modules, minimal flat resolutions and dual Bass numbers
The dual of a Gorenstein module is called a co-Gorenstein module, defined by Lingguang Li. In this paper, we prove that if R is a local U-ring and M is an Artinian R-module, then M is a co-Gorenstein R-module if and only if the complex is a minimal flat resolution for M when we choose a suitable triangular subset on R̂. Moreover we characterize the co-Gorenstein modules over a local U-ring and Cohen-Macaulay local U-ring.
On Cohen-Macaulay rings
In this paper, we use a characterization of -modules such that to characterize Cohen-Macaulay rings in terms of various dimensions. This is done by setting to be the local cohomology functor of with respect to the maximal ideal where is the Krull dimension of .
On deformation method in invariant theory
In this paper we relate the deformation method in invariant theory to spherical subgroups. Let be a reductive group, an affine -variety and a spherical subgroup. We show that whenever is affine and its semigroup of weights is saturated, the algebra of -invariant regular functions on has a -invariant filtration such that the associated graded algebra is the algebra of regular functions of some explicit horospherical subgroup of . The deformation method in its usual form, as developed...
On deformations of pasting diagrams.
On exact modules over a commutative exact ring
On graded Bett numbers and geometrical properties of projective varieties.
On Hilbert polynomial of certain determinantal ideals.
On h-regular graded algebras
On Ideal Theory in High Prufer Domains.
On multipliciteis of local rings.
On multi-Rees algebras. With an Appenddix by Ngô Viêt Trung.