A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
On the Anderson-Badawi $\omega_{R[X]}(I[X])=\omega_R(I)$ conjecture

2016
*
Archivum Mathematicum
*

Let $R$ be a commutative ring with an identity different from zero and $n$ be a positive integer. Anderson and Badawi, in their paper on $n$-absorbing ideals, define a proper ideal $I$ of a commutative ring $R$ to be an $n$-absorbing ideal of $R$, if whenever $x_1 \cdots x_{n+1} \in I$ for $x_1, \ldots, x_{n+1} \in R$, then there are $n$ of the $x_i$'s whose product is in $I$ and conjecture that $\omega_{R[X]}(I[X])=\omega_R(I)$ for any ideal $I$ of an arbitrary ring $R$, where $\omega_R(I)=

doi:10.5817/am2016-2-71
fatcat:qpbwmnjr5zhdrpekaqjhhunc7y