Prove that a nontrivial subring of a ring that is a domain has the same identity
74139
Subrings of integral domains have the same identity element.
77198
Showing that the characteristic of a commutative ring R without zero divisors is 0 or prime
136389
Finding an isomorphic subring of matrices
92583
Prove that $N(\gamma) = 1$ if, and only if, $\gamma$ is a unit in the ring $\mathbb{Z}[\sqrt{n}]$
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
87946
Proving that the unities of a ring form a group under multiplication
121465
$R[x]$ has a subring isomorphic to $R$.
106894
If a subring of a ring R has identity, does R also have the identity?
15320
Morita equivalence and right and left ideals of a Ring
79535
Prove that $R$ is a commutative ring if $x^3=x$
150170
Subrings of fraction fields
46843
A ring without the Invariant Basis Number property
157585
Structure theorem of finite rings
112560
Simple Noetherian domain which is not a division ring
4196
A valid proof for the invariance of domain theorem?
157420
Question about Subrings and integraly closed
113152
Prove Principal Ideal Domain from Bezout's condition, and terminating divisibility chain