Carry on with 1, 2 I have the following question.
Let $\mathbb{Z}[X]$ be the ring of polynomials in one variable, $f(X)\in \mathbb{Z}[X]$ be a monic irreducible polynomial, $A = \mathbb{Z}[X]/(f(X))$ and $\theta$ = $X$ (mod $f(X)$). Can we classify all the primary ideals of $A$?
a. If a prime ideal $P$ of $A$ is principal then $P$-primary ideals are prime power.
b. If $P=(p, g(\theta))$ (see, 2) then can we describe $P$-primary ideals in this case?
