Square-difference factor absorbing ideals of a commutative ring

David F. Anderson, Ayman Badawi, Jim Coykendall

Let $R$ be a commutative ring with $1\ne 0$. A proper ideal $I$ of $R$ is a {\it square-difference factor absorbing ideal} (sdf-absorbing ideal) of $R$ if whenever $a^2 - b^2 \in…