If $A$ is an integral domain and $a^2=1$, then $a=1$ or $a=-1$
33645
Proving that an integral domain has at most two elements that satisfy the equation $x^2 = 1$.
154001
$(g\circ f)^{-1}=f^{-1}\circ g^{-1}$
90486
If $(A-B)^2=O_2$ then $\det(A^2 - B^2)=(\det(A) - \det(B))^2$
1580
An integral domain $A$ is exactly the intersection of the localisations of $A$ at each maximal ideal
147627
Relation between condition numbers $\kappa(A^T A)$ and $\kappa(A)$
10828
If $A^2 = I$, then $A$ is diagonalizable, and is $I$ if $1$ is its only eigenvalue
73344
Definition of irreducible polynomial via the units of an integral domain.
7011
Integral domain with fraction field equal to $\mathbb{R}$
141078
Domain over which a polynomial is strictly positive
8317
Understanding a proof of "If $R$ is an integral domain, then $R[x]$ is an integral domain as well".
95057
Possible fake proof of $1= -1$
90533
Show that if $p(x)$ is reducible in $F[x]$, then $F[x]/(p(x))$ is not an integral domain.
126503
Showing that an integral domain is a PID if it satisfies two conditions
109647
Ext$_R^n(Q,A)=0=$Tor$_n^R(Q,A)$ where $Q$ is the field of fractions of a domain $R$
113168
If $a > b$, is $a^2 > b^2$?
55094
How to show $i^{-1} = -i$?
129647
$A^{-1}$ has integer entries if and only if the ${\rm det}\ (A) =\pm 1$