On the stable set of associated prime ideals of a monomial ideal

2011/10/11 by Bayati, Shamila, Herzog, Jürgen, Rinaldo, Giancarlo
#13C13 #13P99 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1110.2300

Abstract

It is shown that any set of nonzero monomial prime ideals can be realized as the stable set of associated prime ideals of a monomial ideal. Moreover, an algorithm is given to compute the stable set of associated prime ideals of a monomial ideal.

Related

• The stable set of associated prime ideals of a squarefree principal Borel ideal
• A family of monomial ideals with the persistence property
• Colon structure of associated primes of monomial ideals
• Monomial ideals with primary components given by powers of monomial prime ideals
• The stable set of associated prime ideals of a polymatroidal ideal