Infinite ring is an integral domain if the quotient with each non-trivial ideal is finite
84149
Prove that an infinite ring with finite quotient rings is an integral domain
145351
Ring of formal power series over a principal ideal domain is a unique factorisation domain
63659
If D is an Integral Domain and has finite characteristic p, prove p is prime.
92822
Finite number of elements generating the unit ideal of a commutative ring
151794
Can an ideal in a commutative integral domain be its own square?
30714
A question on ring homomorphisms and maximal ideals.
7011
Integral domain with fraction field equal to $\mathbb{R}$
140553
An ideal which is not finitely generated
15137
Does $IJ=IK\implies J=K$ always hold for integral domain and finitely generated nonzero ideal $I$?
108896
Prime ideal in a polynomial ring over an integrally closed domain
75899
Principal ideal domain with finitely many ideals
141659
Every field is an integral domain
98818
Quotient ring of a localization of a ring
32839
Example of integral domain with infinitely ascending chain of ideals.
36150
Ideal in a ring of continuous functions
58640
$R$ is an algebra over an infinite field. If $\exists$ ideals s.t. $J\subseteq \bigcup_{k=1}^nI_k$ then $J\subseteq I_k$ for some $k$
63568
Ring with finitely many zerodivisors