Ideals of $k[y,y^{-1}]$ and of $k[x,y,y^{-1}]$
21946
What do prime ideals in $k[x,y]$ look like?
113136
Generators of the ideal correspond to $d$-uple embedding
145630
What is the ideal class group of the ring $\mathbb{R}[x,y]/(x^2+y^2-1)$?
109688
Zero-dimensional ideals and finite-dimensional algebras
15320
Morita equivalence and right and left ideals of a Ring
36150
Ideal in a ring of continuous functions
35777
$\mathbb{R}[X,Y]/(Y-X^2,Y+X)\cong_\text{Ring} \mathbb{R}\times \mathbb{R}$
137983
Normalisation of $k[x,y]/(y^2-x^2(x-1))$
29126
Maximal ideal in the ring of continuous functions from $\mathbb{R} \to \mathbb{R}$
52966
Rings, ideals and units-proof
121255
Ideals of the ring of rational numbers with odd denominators
144572
Proof that ideals in $C[0,1]$ are of the form $M_c$ that should not involve Zorn's Lemma
104486
Ideal in $\mathbb Z[x]$ which is not two-generated
91627
What is a primary decomposition of the ideal $I = \langle xy, x - yz \rangle$?
155604
Show that $k[x,y]/(xy-1)$ is not isomorphic to a polynomial ring in one variable.
29019
Ideals in direct product of rings
58425
Defining the Product of Ideals