In this paper we study the O-sequences of local (or graded) K-algebras of socle degree 4. More precisely, we prove that an O-sequence h=(1,3,h2,h3,h4), where h4 652, is the h-vector of a local level K-algebra if and only if h3 643h4. A characterization is also presented for Gorenstein O-sequences. In each of these cases we give an effective method to construct a local level K-algebra with a given h-vector. Moreover we refine a result of Elias and Rossi by showing that if h=(1,h1,h2,h3,1) is a unimodal Gorenstein O-sequence, then h forces the corresponding Gorenstein K-algebra to be canonically graded if and only if h1=h3and h2=(h1+12), that is the h-vector is maximal. We discuss analogue problems for higher socle degrees
Let R be the power series ring or the polynomial ring over a field k and let I be an ideal of R. Mac...
Let $(A, \m, K) $ be an Artinian Gorenstein local ring with $K$ an algebraically closed field ...
In this paper we study the isomorphism classes of local, Artinian, Gorenstein $k$--algebras $A$ whos...
In this paper we consider Artin compressed local algebras, that is local algebras with maximal len...
We classify all possible h-vectors of graded artinian Gorenstein algebras in socle degree 4 and codi...
The study of the h-vectors of graded Gorenstein algebras is an important topic in combinatorial comm...
Let $(A, \m, K) $ be an Artinian Gorenstein local ring with $K$ an algebraically closed field ...
The main goal of this paper is to characterize the Hilbert functions of all (artinian) codimension 4...
Title from PDF of title page (University of Missouri--Columbia, viewed on May 31, 2012).The entire t...
AbstractWe study h-sequences of certain Gorenstein standard G-algebras and, for a given SI-sequence ...
We study Stanley’s long-standing conjecture that the h-vectors of matroid simplicial complexes are p...
In this article we study Hilbert functions and isomorphism classes of Artinian level local algebras ...
The first example of a non unimodal Gorenstein $h$-vector was given by Stanley, it is $(1,13,12,13,1...
A monomial order ideal is a finite collection X of (monic) monomials such that, whenever M∈X and N d...
We associate with every pure flag simplicial complex Delta a standard graded Gorenstein F-algebra R_...
Let R be the power series ring or the polynomial ring over a field k and let I be an ideal of R. Mac...
Let $(A, \m, K) $ be an Artinian Gorenstein local ring with $K$ an algebraically closed field ...
In this paper we study the isomorphism classes of local, Artinian, Gorenstein $k$--algebras $A$ whos...
In this paper we consider Artin compressed local algebras, that is local algebras with maximal len...
We classify all possible h-vectors of graded artinian Gorenstein algebras in socle degree 4 and codi...
The study of the h-vectors of graded Gorenstein algebras is an important topic in combinatorial comm...
Let $(A, \m, K) $ be an Artinian Gorenstein local ring with $K$ an algebraically closed field ...
The main goal of this paper is to characterize the Hilbert functions of all (artinian) codimension 4...
Title from PDF of title page (University of Missouri--Columbia, viewed on May 31, 2012).The entire t...
AbstractWe study h-sequences of certain Gorenstein standard G-algebras and, for a given SI-sequence ...
We study Stanley’s long-standing conjecture that the h-vectors of matroid simplicial complexes are p...
In this article we study Hilbert functions and isomorphism classes of Artinian level local algebras ...
The first example of a non unimodal Gorenstein $h$-vector was given by Stanley, it is $(1,13,12,13,1...
A monomial order ideal is a finite collection X of (monic) monomials such that, whenever M∈X and N d...
We associate with every pure flag simplicial complex Delta a standard graded Gorenstein F-algebra R_...
Let R be the power series ring or the polynomial ring over a field k and let I be an ideal of R. Mac...
Let $(A, \m, K) $ be an Artinian Gorenstein local ring with $K$ an algebraically closed field ...
In this paper we study the isomorphism classes of local, Artinian, Gorenstein $k$--algebras $A$ whos...