A Cancellation Theorem for Artinian Local Algebras.
A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.
A corollary to the Evans-Griffith Syzygy theorem
A criterion for tangential flatness.
A General Resolution for Grade Four Gorenstein Ideals.
A homological characterization of local complete intersections
A K-Theoretic Approach to Multiplicities.
A method to estimate the degree of -sufficiency of analytic functions.
A new algebraic criterion for shellability.
A note on Bézout's theorem
We present a version of Bézout's theorem basing on the intersection theory in complex analytic geometry. Some applications for products of surfaces and curves are also given.
A note on imperfect monomial curves in
A note on quasi-complete local rings
A note on the computation of multiplicities.
A Note on the Hilbertfunction of a One-Dimensional Cohen-Macaulay Ring.
A note on the intersection multiplicity
A note on the Stanley-Reisner ring of a join and of a suspension.
A numerical criterion for the permissibility of a blowing-up
A problem on coefficient fields and equations over local rings
A procedure to compute prime filtration
Let K be a field, S = K[x 1, … x n] be a polynomial ring in n variables over K and I ⊂ S be an ideal. We give a procedure to compute a prime filtration of S/I. We proceed as in the classical case by constructing an ascending chain of ideals of S starting from I and ending at S. The procedure of this paper is developed and has been implemented in the computer algebra system Singular.
A purity theorem for the Witt group