The stable set of associated prime ideals of a squarefree principal Borel ideal

2013/01/30 by Aslam, Adnan
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1301.7152

Abstract

It is shown that a squarefree principal Borel ideal satisfies the persistence property for the associated prime ideals. For the graded maximal ideal we compute the index of stability with respect to squarefree principal Borel ideals and determine their stable set of associated prime ideals.

Related

• On the stable set of associated prime ideals of a monomial ideal
• A family of monomial ideals with the persistence property
• Persistence and stability properties of powers of ideals
• The stable set of associated prime ideals of a polymatroidal ideal
• Generalized cover ideals and the persistence property