2024/07/22 by Eddings, Ayden, Vraciu, Adela
#13C13 #3A02 #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2407.16000
We investigate the standard graded k-algebras over a field k of characteristic zero for which general linear forms are exact zero divisors. We formulate a conjecture regarding the Hilbert function of such rings. We prove our conjecture in the case when the ring is a quotient of a polynomial ring by a monomial idea, and also in the case when the ideal is generated in degree 2 and all but one of the generators are monomials.