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20032017
most citedFamilies of Gorenstein and almost Gorenstein rings

13 citations · 18 across the 8 of their papers we have counts for

collaborators

9 papers

math.AC2017

Dilatations of numerical semigroups

Valentina Barucci, Francesco Strazzanti

This paper is focused on numerical semigroups and presents a simple construction, that we call dilatation, which, from a starting semigroup , permits to get an infinite family o…

math.AC2015★ 13 cited

Families of Gorenstein and almost Gorenstein rings

Valentina Barucci, Marco D'Anna, Francesco Strazzanti

Starting with a commutative ring and an ideal , it is possible to define a family of rings , with , as quotients of the Rees algebra $\oplus_{n \geq 0…

math.AC2012★ 1 cited

On free resolutions of some semigroup rings

Valentina Barucci, Ralf Fröberg, Mesut Sahin

For some numerical semigroup rings of small embedding dimension, namely those of embedding dimension 3, and symmetric or pseudosymmetric of embedding dimension 4, presentations has…

math.AC2011

On differential operators of numerical semigroup rings

Valentina Barucci, Ralf Fröberg

If is a numerical semigroup, we call the ring $\C[S]=\C[t^{d_1},...,t^{d_ν}]$ the semigroup ring of . We study the ring of differential operators on $\C[S]$, a…

math.AC2010

Associated graded rings of one-dimensional analytically irreducible rings II

Valentina Barucci, Ralf Fröberg

Lance Bryant noticed in his thesis that there was a flaw in our paper "Associated graded rings of one-dimensional analytically irreducible rings", J. Algebra 304 (2006), 349-358. I…

math.AC2010

Type sequences of one-dimensional local analytically irreducible rings

Valentina Barucci, Ioana Cristina Şerban

We extend the notion of type sequence to rings that are not necessarily residually rational. Using this invariant we characterize different types of rings as almost Gorenstein ring…