Ring having infinitely many zero divisors
79957
If $R$ is an infinite ring, then $R$ has either infinitely many zero divisors, or no zero divisors
24203
Finding Zero Divisors and Units of Rings $\mathbb{Z}_n \times \mathbb{Z}_m$
53469
C(0, 1) has infinitely many prime ideals not of the form Mp
17926
Zero divisor in $R[x]$
113512
Characteristic of nonzero commutative rings with unity
19838
Prove that in general the set of the right zero divisors is different from the set of left zero divisors in a ring R
69012
How to directly prove every element in a ring with exactly three ideals is either a unit or a zero divisor?
107900
A ring which has many distinct left inverses
134991
Commutative non Noetherian rings in which all maximal ideals are finitely generated
140553
An ideal which is not finitely generated
37410
Example of a ring with an infinite inclusion chain of ideals
22610
Polynomial rings in infinitely indeterminants
80616
A ring with few invertible elements
84751
How can it be possible to localize a ring at a set with zero divisors?
89313
Maximal ideals of polynomial rings in infinitely many variables
93632
Existence of a ring homomorphism implies characteristic divisibility
50828
Weil divisors on normal Noetherian schemes