3 papers
math.AC2016
Minimal free resolutions for homogeneous ideals with Betti numbers
Alfio Ragusa, Giuseppe Zappalà
We investigate the standard generalized Gorenstein algebras of homological dimension three, giving a structure theorem for their resolutions. Moreover in many cases we are able to…
math.AG2010
On the Weak Lefschetz Property for Hilbert functions of almost complete intersections
Alfio Ragusa, Giuseppe Zappala
It is known that all complete intersection Artinian standard graded algebras of codimension 3 have the Weak Lefschetz Property. Unfortunately, this property does not continue to be…
math.AG2010
A Structure Theorem and the Graded Betti Numbers for Almost Complete Intersections
Alfio Ragusa, Giuseppe Zappala
We provide a structure theorem for all almost complete intersection ideals of depth three in any Noetherian local ring. In particular, we find that the minimal generators are the p…