n-ABSORBING MONOMIAL IDEALS IN POLYNOMIAL RINGS

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.