Ideal of a ring with element $-1$
52966
Rings, ideals and units-proof
104784
On the grade of an ideal
87078
Prove the following set is an ideal of the ring $Z[x]$
19883
Prime ideals of the matrix ring
146714
Rees algebra of a monomial ideal
148788
Polynomial ring ideal. Show that $(f) \cap R_N = (0) \iff f \notin R_N$
155745
Ideals of $\mathbb{Z}[X]$
150986
For a Noetherian ring $R$, we have $\text{Ass}_R(S^{-1}M)=\text{Ass}_R(M)\cap \{P:P\cap S=\emptyset\}$
40705
If $M$ is an $R$-module and $I\subseteq\mathrm{Ann}(M)$ an ideal, then $M$ has a structure of $R/I$-module
87151
Primary ideals in Noetherian rings
110984
Ideals and prime ideals in a commutative ring.
146801
Primary decomposition of an ideal
121255
Ideals of the ring of rational numbers with odd denominators
67669
Prime ideals of a finite direct product ring
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 $a\in R$.
108896
Prime ideal in a polynomial ring over an integrally closed domain