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 deformations of pasting diagrams.
On exact modules over a commutative exact ring
On multi-Rees algebras. With an Appenddix by Ngô Viêt Trung.
On Products in a Family of Cohomology Theories Associated to the Invariant Prime Ideals of ... (BP).
On the Betti numbers of perfect ideals
On the free character of the first Koszul homology module.
Let (A,M,K) denote a local noetherian ring A with maximal ideal M and residue field K. Let I be an ideal of A and E the Koszul complex generated over A by a system of generators of I.The condition: H1(E) is a free A/I-module, appears in several important results of Commutative Algebra. For instance:- (Gulliksen [3, Proposition 1.4.9]): The ideal I is generated by a regular sequence if and only if I has finite projective dimension and H1(E) is a free A/I-module.- (André [2]): Assume that A is a complete...
On the graded Betti numbers for large finite subsets of curves
We prove a recent conjecture of S. Lvovski concerning the periodicity behaviour of top Betti numbers of general finite subsets with large cardinality of an irreducible curve C ⊂ ℙⁿ.
On the homology of some special complexes. (Sobre la homología de algunos complejos especiales.)
On the non-vanishing of cotangent cohomology.
On the Steenrod operations in cyclic cohomology.
On the upper semicontinuity intersection defect.
Opérations sur l'homologie cyclique des algèbres commutatives.
Orientations and multiplicative structures of resolutions.