Is a left invertible element of a ring necessarily right invertible?
17059
A ring element with a left inverse but no right inverse?
98818
Quotient ring of a localization of a ring
107378
If a ring element is right-invertible, but not left-invertible, then it has infinitely many right-inverses.
46843
A ring without the Invariant Basis Number property
120557
Group of invertible elements of a ring has never order $5$
83115
A set of elements in a reduced unity ring
54345
Prove if a non-trivial ring $R$ has a unique maximal left ideal $J$ , then $J$ is two-sided and is also the unique maximal right ideal in $R$.
25229
Can any set of $n$ relatively prime elements be extended to an invertible matrix?
48009
Left inverse implies right inverse in a finite ring
138670
If product of finite elements in a ring is a unit then can we say each element as unit
140340
Left and right R-modules
3936
Characterization of valuation rings
83255
Finding inverse in non-commutative ring
53113
$I-AB$ be invertible $\Leftrightarrow$ $I-BA$ is invertible
57105
Probs. 12 & 13 , Sec. 2.3, in Herstein's TOPICS IN ALGEBRA, 2nd ed: Existence of only right-sided identity and right-sided inverses suffice
119052
Finding invertible elements in $\mathbb{Z}/m\mathbb{Z}$
32108
$ a\in \Bbb Z_n$ is invertible $\,\Rightarrow\gcd (a,n) =1$