Definition of a primary ideal in a commutative ring
59411
Primary ideals confusion with definition
118781
product of ideals in matrix ring
87103
Quick question about ideals of field $F$ in $F[x]$ are principal.
148208
In Noetherian ring $R$, ideal $I\subset R$, $P\in\mathrm{Ass}(I),P=I:a$ for some $a\in R$.
138309
Ring whose all ideals are double-sided is commutative?
129371
Maximal ideals in the ring of real functions on $[0,1]$
108767
Irreducible Components of the Prime Spectrum of a Quotient Ring and Primary Decomposition
33245
Show that every ideal of the ring $\mathbb Z$ is principal
80961
Prove that a commutative ring $F$ is a field iff $F[x]$ is a Principal Ideal Domain
1719
Ideals in the ring of Gaussian integers
69649
If an ideal contains the multiplicative identity, then it is the whole ring
54916
Maximal ideal in commutative ring
155745
Ideals of $\mathbb{Z}[X]$
16023
Are associates unit multiples in a commutative ring with $1$?
47134
Ideals generated by two elements
157605
$IS \mid JS$ implies that $I\mid J$ where $I$ and $J$ are ideals of a number ring contained in another number ring $S$
5360
Ideal contained in a finite union of prime ideals