Schälbare Cohen-Macauley-Komplexe und ihre Parametrisierung.
Semicontinuity for the Local Hilbert Function.
Semigroups associated to singular points of plane curves.
Signatures of Higher Level on Rings with Many Units.
Sobre los puntos múltiples de las curvas planas algebráicas.
Some algebraic properties of hypergraphs
We consider Stanley-Reisner rings where is the edge ideal associated to some particular classes of hypergraphs. For instance, we consider hypergraphs that are natural generalizations of graphs that are lines and cycles, and for these we compute the Betti numbers. We also generalize some known results about chordal graphs and study a weak form of shellability.
Some Applications of the Resultant
Some characterizaions of smooth, regular, and complete intersection algebras.
Some Criteria for Buchsbaum Modules.
Some Homological properties of commutative semitrivial ring extensions.
Some new results on numbers of generators of ideals in local rings
Some remarks on generalized Cohen-Macaulay rings.
Some surprising Hilbert-Kunz functions.
Stability of Two-Dimensional Local Rings. I.
Standard systems of parameters and their blowing-up rings.
Stanley decompositions and polarization
We define nice partitions of the multicomplex associated with a Stanley ideal. As the main result we show that if the monomial ideal is a CM Stanley ideal, then is a Stanley ideal as well, where is the polarization of .
Stanley depth of monomial ideals with small number of generators
For a monomial ideal I ⊂ S = K[x 1...,x n], we show that sdepth(S/I) ≥ n − g(I), where g(I) is the number of the minimal monomial generators of I. If I =νI′, where ν ∈ S is a monomial, then we see that sdepth(S/I) = sdepth(S/I′). We prove that if I is a monomial ideal I ⊂ S minimally generated by three monomials, then I and S/I satisfy the Stanley conjecture. Given a saturated monomial ideal I ⊂ K[x 1,x 2,x 3] we show that sdepth(I) = 2. As a consequence, sdepth(I) ≥ sdepth(K[x 1,x 2,x 3]//I) +1...
Stretched -primary ideals.
Successioni di Gorenstein e proprietà
Sul polinomio di Hilbert di un modulo graduato