Homework SourseSuppose R is not an integral domain Show that Rx is not an i
Suppose R is not an integral domain. Show that R[x] is not an integral domain.
Suppose R is not an integral domain. Show that R[x] is not an integral domain.
Solution
we know that
If R is an integral domain then R[x] is an integral domain.
obviously if R is not an integral domain thenR[x] is not an integral domain.
![Suppose R is not an integral domain. Show that R[x] is not an integral domain. Suppose R is not an integral domain. Show that R[x] is not an integral domain.So](/WebImages/24/suppose-r-is-not-an-integral-domain-show-that-rx-is-not-an-i-1059448-1761553228-0.webp "Suppose R is not an integral domain. Show that R[x] is not an integral domain. Suppose R is not an integral domain. Show that R[x] is not an integral domain.So")
