A note on the Alexander dual of path ideals of rooted trees

作者：Khashyarmanesh Kazem; Nasernejad Mehrdad^*

来源：Communications in Algebra, 2018, 46(1): 283-289.

DOI：10.1080/00927872.2017.1324867

• Associated primes
• normally torsion-free ideals
• rooted trees

An ideal/in a commutative Noetherian ring S is called normally torsion -free Ass(S)(S/I-K) Ass(S)(S/I)for all positive integers k, where Ass(S)(S/l) denotes the set of associated prime ideals of I. In this note, we show that the Alexander dual of path ideals generated by all paths of length 2 in rooted trees are normally torsion -free.

• 出版日期2018