Hilbert Functions play major roles in Algebraic Geometry and Commutative Algebra, and are
becoming increasingly important also in Computational Algebra. They capture many useful …

Abstract The Ratliff-Rush ideal associated to a nonzero ideal I in a commutative Noetherian
domain R with unity is Ĩ=⋃∞ n= 1 (I n+ 1: RI n=⋂{IS∩ R: S∈ B (I)}, where B (I)={R [I/a] P: a∈ …

We study the number of generators of ideals in regular rings and ask the question whether μ
(I)< μ (I 2) if I is not a principal ideal, where μ (J) denotes the number of generators of an …

On the Depth of the Fiber Cone of Filtrations Page 1 Ž . JOURNAL OF ALGEBRA 198, 428445
1997 ARTICLE NO. JA977147 On the Depth of the Fiber Cone of Filtrations Teresa Cortadellas …

Let $ I $ be an $\mathfrak {m} $-primary ideal in a Gorenstein local ring ($ A $, $\mathfrak
{m} $) with $\dim A= d $, and assume that $ I $ contains a parameter ideal $ Q $ in $ A $ as a …

Let (R, m) be a local Cohen–Macaulay ring and let I be an m-primary ideal. In this paper we
give sharp bounds on the multiplicity of the special fiber ring F of I in terms of other well …

Freiman's theorem gives a lower bound for the cardinality of the doubling of a finite set
in\mathbb R^ n R n. In this paper we give an interpretation of his theorem for monomial …

In this paper we study the Freiman inequality for the least number of generators of the
square of an equigenerated monomial ideal. Such an ideal is called a Freiman ideal if …

Let (R, 𝔪) be a Noetherian local ring and let I be an R-ideal. Inspired by the work of Hübl and
Huneke, we look for conditions that guarantee the Cohen-Macaulayness of the special fiber …

Fiber cones of 0-dimensional ideals with almost minimal multiplicity in Cohen-Macaulay
local rings are studied. Ratliff-Rush closure of filtration of ideals with respect to another ideal …