What happens when you don't require rings to be abelian groups?
11938
What happens if we remove the requirement that $\langle R, + \rangle$ is abelian from the definition of a ring?
1686
Show that quotient rings are not isomorphic
24966
Converse of Lagrange's theorem for abelian groups
128813
Examples of a commutative ring without an identity in which a maximal ideal is not a prime ideal
55281
Why is the fundamental group of the plane with two holes non-abelian?
3907
Abelian quotient group
28327
(Simple) Examples on Non-Commutative Rings
35913
Abelianization of free group is the free abelian group
18361
Does the unit generate the additive group in a unital ring with cyclic additive group?
28688
why is a simple ring not semisimple?
151287
Isomorphic abelian groups which are not isomorphic R-modules
35401
Examples of finite groups that are not a semidirect product
130073
$N(ab) \geq N(a)$ is not necessary for the ring to be euclidean
119545
Nonzero rationals under multiplication are not a cyclic group
3838
If a group satisfies $x^3=1$ for all $x$, is it necessarily abelian?
32516
show that rational numbers with the multipiciation are not abelian finitely generated group
46843
A ring without the Invariant Basis Number property