Ring Operations on Coset Space of Ideal/Examples

Examples of Use of Ring Operations on Coset Space of Ideal

Integer Multiples of $5$

Let $\ideal 5$ denote the set of all integer multiples of $5$.

Then their product $\ideal 5 \circ_\PP \ideal 5$ in $\powerset \Z$ is a proper subset of their product in $\Z / \ideal 5$.