the left inverse and right inverse in a ring
17059
A ring element with a left inverse but no right inverse?
89234
Any Set with Associativity, Left Identity, Left Inverse is a Group
53113
$I-AB$ be invertible $\Leftrightarrow$ $I-BA$ is invertible
80616
A ring with few invertible elements
32772
Proving units in a ring
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
41629
Structure of ideals in the product of two rings
134075
Inverse of $A^{-1}+B^{-1}$
152013
elementary ring proof with composition of functions and addition of functions as operations
23521
Power Set of $X$ is a Ring with Symmetric Difference, and Intersection
80996
A canonical construction proving $\left|HK\right| = \left|H\right|\left|K\right| / \left|H \cap K\right|$?
83255
Finding inverse in non-commutative ring
73526
The equivalence of "Every surjection has a right inverse" and the Axiom of Choice
133706
If R is a local ring, then its maximal left-ideal is a left and right ideal
154495
Prove that a nontrivial subring of a ring that is a domain has the same identity
11573
Rings and some of their properties
83100
Prove that the center of a ring is a subring.