2020/02/17 by Zappalà, Giuseppe
#13H10 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2002.06831
We study properties of the resolution of almost Gorenstein artinian algebras R/I, i.e. algebras defined by ideals I such that I=J+(f), with J Gorenstein ideal and f∈ R. Such algebras generalize the well known almost complete intersection artinian algebras. Then we give a new explicit description of the resolution and of the graded Betti numbers of almost complete intersection ideals of codimension 3 and we characterize the ideals whose graded Betti numbers can be achieved using artinian monomial ideals.