If $I$ and $J$ are both an ideal, then how is $IJ$ defined?
58425
Defining the Product of Ideals
99715
Proper ideal and units proof
56278
$I$ and $J$ are coprime ideals iff $x \to (x + I, x + J)$ is surjective.
20296
The ideal $I= \langle x,y \rangle\subset k[x,y]$ is not principal
91627
What is a primary decomposition of the ideal $I = \langle xy, x - yz \rangle$?
52966
Rings, ideals and units-proof
11109
The ideal generated by a non-compact operator
138168
Prove: The pre-image of an ideal is an ideal.
76314
Idealizer of one-sided ideal
104486
Ideal in $\mathbb Z[x]$ which is not two-generated
148208
In Noetherian ring $R$, ideal $I\subset R$, $P\in\mathrm{Ass}(I),P=I:a$ for some $a\in R$.
117786
Show that some monomial ideal is primary
151797
Which element belong to the principal ideal $(3+i)$?
138572
Is $(xy-1)$ a maximal ideal in $\mathbb C[x,y]$?
59411
Primary ideals confusion with definition
140553
An ideal which is not finitely generated
15904
Prime ideal and nilpotent elements