Intermediate Rings that are not finitely generated
67796
How to prove that the algebra $k[x, xy, xy^2, xy^3, \dotsc]$ is not finitely generated?
133495
Example of a ring without Invariant Basis Property
116783
Simplicial sets which are not Kan complexes
32741
Idempotents in a ring without unity (rng) and no zero divisors.
87534
Finitely generated group which is not finitely presented
143884
A non-noetherian ring with noetherian spectrum
74681
A finite extension with finitely many intermediate fields is simple
27766
Comaximal ideals in a commutative ring
63568
Ring with finitely many zerodivisors
4790
Generators of a finitely generated free module over a commutative ring
157585
Structure theorem of finite rings
53469
C(0, 1) has infinitely many prime ideals not of the form Mp
46843
A ring without the Invariant Basis Number property
16643
A slick proof that a field which is finitely generated as a ring is finite
42652
Must $k$-subalgebra of $k[x]$ be finitely generated?
30465
Determining which rings have a module which is not semisimple
146276
Is there a ring such that the nilradical of it is not nilpotent?