6 citations · 7 across the 4 of their papers we have counts for
5 papers · 1 filter
Hilbert-Kunz multiplicity of powers of ideals in dimension two
Alessandro De Stefani, Shreedevi K. Masuti, Maria Evelina Rossi +1
We study the behavior of the Hilbert-Kunz multiplicity of powers of an ideal in a local ring. In dimension two, we provide answers to some problems raised by Smirnov, and give a cr…
Almost finitely generated inverse systems and reduced k-algebras
Joan Elias, Maria Evelina Rossi
The purpose of this paper is to characterize one-dimensional local domains, or more in general reduced, in terms of its Macaulay's inverse system. This leads to study almost finite…
From a local ring to its associated graded algebra
Alessandro De Stefani, Maria Evelina Rossi, Matteo Varbaro
Let be a complete local ring, and be its associated graded ring. We introduce a homogenization technique which allows to relate $G…
Analytic Isomorphisms of compressed local algebras
J. Elias, M. E. Rossi
In this paper we consider Artin local K-algebras with maximal length in the class of Artin algebras with given embedding dimension and socle type. They have been widely studied by…
Isomorphism classes of short Gorenstein local rings via Macaulay's inverse system
Joan Elias, Maria Evelina Rossi
In this paper we study the isomorphism classes of Artinian Gorenstein local rings with socle degree three by means of Macaulay's inverse system. We prove that their classification…