n-ABSORBING MONOMIAL IDEALS IN POLYNOMIAL RINGS

Authors : Hyun Seung CHOİ, Andrew WALKER

Pages : 204-223

Doi:10.24330/ieja.587073

View : 15 | Download : 11

Publication Date : 2019-07-11

Article Type : Research Paper

Abstract :In a commutative ring R with unity, given an ideal I of R, Ander son and Badawi in 2011 introduced the invariant winsert ignore into journalissuearticles values(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 winsert ignore into journalissuearticles values(I); for certain monomial ideals I of R.
Keywords : n Absorbing ideal, monomial ideal, Noether exponent