2018/12/14 by Choi, Hyun Seung, Walker, Andrew
#Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.1812.05791
In a commutative ring R with unity, given an ideal I of R, Anderson and Badawi in 2011 introduced the invariant ω(I), which is the minimal integer n for which I is an n-absorbing ideal of R. In the specific case that R = k[x1, …, xn] is a polynomial ring over a field k in n variables x1,…, xn, we calculate ω(I) for certain monomial ideals I of R.