2022/10/21 by Forsman, Joey
#13A15 #13B99 #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2210.11979
We introduce two closure operations on ideals in commutative rings related to the ring operation of root closure. One closure is the result of iterating a root-like operation on ideals infinitely many times, and the other closure arises as a graded component of the root closure of the Rees algebra applied to an ideal. We study the properties of these closures and prove they are distinct operations.