On the associated primes and the depth of the second power of squarefree monomial ideals

2013/10/20 by Terai, Naoki, Trung, Ngo Viet · 1 citation
#13C05 #13C15 #13F55 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1310.5303

Abstract

We present combinatorial characterizations for the associated primes of the second power of squarefree monomial ideals and criteria for this power to have positive depth or depth greater than one.

Cited by

• Associated primes of the second power of closed neighborhood ideals of graphs

Related

• Depth of powers of squarefree monomial ideals
• Depth and minimal number of generators of square free monomial ideals
• Powers of Monomial Ideals and Combinatorics
• Depth of factors of square free monomial ideals
• Depth of some special monomial ideals