n-ABSORBING MONOMIAL IDEALS IN POLYNOMIAL RINGS

Year 2019, , 204 - 223, 11.07.2019

Hyun Seung Choi Andrew Walker

https://doi.org/10.24330/ieja.587073

Cited By: 1

Abstract

In a commutative ring R with unity, given an ideal I of R, Anderson and Badawi in 2011 introduced the invariant w(I), which is the minimal

integer n for which I is an n-absorbing ideal of R. In the specific case that

R = k[x1;...; xn] is a polynomial ring over a field k in n variables x1; ... ; xn,

we calculate w(I) for certain monomial ideals I of R.

Keywords

n-Absorbing ideal, monomial ideal, Noether exponent

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