Let R= $ n> oR, be a noetherian graded ring of Krull dimension d with Ro= k an infinite field,
and R= k [Rl]. The Hilbert function of R is and the Hilbert series is the corresponding …

STANLEY’S THEOREM ON CODIMENSION 3 GORENSTEIN h-VECTORS We consider
standard graded artinian algebras A = R/I, where R = k[x1, Page 1 PROCEEDINGS OF THE …

Gorenstein Sequences and G, Condition Page 1 JOURNAL OF ALGEBRA 39, 349-359 (1976)
Gorenstein Sequences and G, Condition MARIA GRAZIA MARINARI* Department of …

1978 HERZOG AND MILLER essary conditions for an algebra to be linked to a complete
intersection. Since these algebras turn out to be hypersurface sections of codimension three …

Let ICA be an ideal of height n which is generated by monomials, and set R= A/1. Evidently,
R is a finite dimensional A:-vector space. We let Ä+ denote the image of (Xi,..., Xn) in R. The …

There is given a characterization for the Rees algebras of parameters in a Gorenstein local
ring to be almost Gorenstein graded rings. A characterization is also given for the Rees …

The first example of a non unimodal Gorenstein h-vector was given by Stanley, it is (1, 13,
12, 13, 1). In [14] the authors showed that Stanley's example is optimal, ie, the vector (1, 12 …

The purpose of this paper is to study maximal irreducible families of Gorenstein quotients of
a polynomial ring $ R $. Let $\operatorname {GradAlg}^ H (R) $ be the scheme …

Introduction notations. If an ideal & of a Gorenstein local ring R is generically a complete
intersection, one czn check by localization at a minimal prime p of height= ht (a:) that the …

I. Einleitung. Hilbert-Funktionen graduierter Cohen-Macaulay-Algebren sind im
wesentliehen bereits von Macaulay [8] vollstfindig charakterisiert worden (siehe auch [12]) …