When can a ring be isomorphic to a quotient of itself?
39576
Quotient ring being isomorphic to the initial ring
30714
A question on ring homomorphisms and maximal ideals.
44396
Noetherian Ring under a Homomorphism / homomorphic function / map
39755
In a faithfully flat ring extension, is $\operatorname{ht}I=\operatorname{ht}IS$ right?
24259
Quotient ring of $T/I$
1686
Show that quotient rings are not isomorphic
105913
Calculations in quotient rings
106894
If a subring of a ring R has identity, does R also have the identity?
40846
When can a (finite) group be written as the quotient of some other group by its center?
93118
How to show that if two integral domains are isomorphic, then their corresponding field of quotients are isomorphic?
130814
Quotient of semi-simple rings
45684
Is quotient of a ring by a power of a maximal ideal local?
34990
Ring homomorphism defined on a field
42552
Localisation is isomorphic to a quotient of polynomial ring
153291
Why a ring homomorphism from a local ring will not map a non-unit to a unit？
124672
Let $f:R\rightarrow S$ be a ring homomorphism. Prove or disprove: if $f$ is onto and $R$ is an integral domain, then $S$ is an integral domain
70658
Isomorphism between quotient modules