Radical Ideal in the Coordinate Ring is Intersection of Maximal Ideals
111189
Intersection of all maximal ideals containing a given ideal
142863
Show that every ideal of the matrix ring $M_n(R)$ is of the form $M_n(I)$ where $I$ is an ideal of $R$
122012
The ideal $(x,y)$ is not a free $K[x,y]$-module
112150
Prove that the ideal $(x^2 + x+2)$ is maximal in $F_3[x]$
36150
Ideal in a ring of continuous functions
104377
Maximal Ideals in Ring of Continuous Functions
43774
Given distinct maximal ideals $M_1,...,M_n$, is $M_1\cdots M_n$ radical?
69649
If an ideal contains the multiplicative identity, then it is the whole ring
62917
Associated Prime Ideals in a Noetherian Ring; Exercise 6.4 in Matsumura
84663
$A$ local Noetherian ring with principal maximal ideal implies PIR?
129371
Maximal ideals in the ring of real functions on $[0,1]$
133975
Localising a polynomial ring and non-maximal prime ideal
56800
Intersection of prime ideals
6646
A (non-artificial) example of a ring without maximal ideals
136654
$(x_1-a_1, x_2-a_2)$ is a maximal ideal of $K[x_1,x_2]$
37677
Radical of $\mathfrak{gl}_n$
130466
Proving every prime ideal is maximal in a finite dimensional ring over a field.