Completion of $R[x,x^{-1}]$ at the ideal $(1+x)$
51645
Do localization and completion commute?
155745
Ideals of $\mathbb{Z}[X]$
50445
Explaining the product of two ideals
58425
Defining the Product of Ideals
85148
How do ideal quotients behave with respect to localization?
111189
Intersection of all maximal ideals containing a given ideal
45684
Is quotient of a ring by a power of a maximal ideal local?
115270
What are the generators of $(\mathbb{R},+)$?
50908
Showing a Ring and an Ideal are equal
99715
Proper ideal and units proof
40705
If $M$ is an $R$-module and $I\subseteq\mathrm{Ann}(M)$ an ideal, then $M$ has a structure of $R/I$-module
146801
Primary decomposition of an ideal
154945
$|px^2+qx+r|\le1$ for all $x$ in $[-1; 1]$, show that $|rx^2+qx+p|\le2$ for all $x$ in $[-1; 1]$
108896
Prime ideal in a polynomial ring over an integrally closed domain
55902
Show $R[x]/(x)\cong R$
138572
Is $(xy-1)$ a maximal ideal in $\mathbb C[x,y]$?
134622
Sum of nil right ideals