Regular element of a Noetherian ring
74314
Noetherian ring and the same prime divisors
76047
Annihilators of elements of a finitely generated faithful module over a noetherian reduced ring
50828
Weil divisors on normal Noetherian schemes
15904
Prime ideal and nilpotent elements
44396
Noetherian Ring under a Homomorphism / homomorphic function / map
119067
Basic Ring Theory Question involving the unit element
144623
Can one avoid AC in the proof that in Noetherian rings there is a maximal element for each set?
37479
Proper submodules of Noetherian modules are intersections of indecomposable modules
51578
Noetherian ring with finitely many height $n$ primes
121008
A non-noetherian ring with all localizations noetherian
68167
Intersection of powers of an ideal in a Noetherian ring
100340
Invariant dimension property on a ring without zero divisors
110984
Ideals and prime ideals in a commutative ring.
14343
Every nonzero element in a finite ring is either a unit or a zero divisor
54916
Maximal ideal in commutative ring
113512
Characteristic of nonzero commutative rings with unity
83115
A set of elements in a reduced unity ring