A ring is commutative if the solution of $ab=ca$ is always unique
18971
Show that a ring is commutative if it has the property that ab = ca implies b = c when $a\neq 0$
54916
Maximal ideal in commutative ring
77632
Can column uniqueness be commutative?
74452
On a uniqueness proof for solutions of $\ a + x = b\,$ in a group
107900
A ring which has many distinct left inverses
44100
Prove that identity element is unique
3936
Characterization of valuation rings
111786
for any ring $A$ the matrix ring $M_n(A)$ is simple if and only if $A$ is simple
52966
Rings, ideals and units-proof
156878
If every commutator is idempotent, then the ring is commutative
50908
Showing a Ring and an Ideal are equal
145351
Ring of formal power series over a principal ideal domain is a unique factorisation domain
68732
Prove that a semigroup satisfying $a^pb^q=ba$ is commutative
144442
Let $R$ be a commutative unital ring. Is it true that the group of units of $R$ is not isomorphic with the additive group of $R$?
73689
A question about the equivalence relation on the localization of a ring.
112131
Characterizing all ring homomorphisms $C[0,1]\to\mathbb{R}$.
70610
Why is ring addition commutative?