Nilpotent element $a^2$ in a polynomial quotient ring
65637
Squares in Polynomial Quotient Ring $ (\mathbb{Z}/2)[x] /(x^{17} - 1) $
147667
Polynomial ring isomorphisms
13631
Showing group with $p^2$ elements is Abelian
38028
finitely generated k-algebra and polynomial ring
38571
Localization of a total quotient ring of a reduced ring
142212
Let $q$ be a prime congruent to 3 mod 4, prove the quotient ring $\mathbb{Z}[i]/(q)$ is a field with $q^2$ elements
98818
Quotient ring of a localization of a ring
65224
Prove that if $a^2 = a$ for all elements of the ring $R$, then $R$ has characteristic 2. Is the converse of the statement true?
119832
Galois group of the splitting field of the polynomial $x^5 - 2$ over $\mathbb Q$
111824
Sum of nilpotent and element is a unit in ring?
40975
Quotient of the ring of integers of a number field by a prime ideal
127002
Prove that for a nonzero element $a$ of a field $F$ with $q$ elements $a^{-1} = a^{q-2}$
7034
Prove that $A+I$ is invertible if $A$ is nilpotent
38346
Commutative Ring: Nilpotent elements closed under addition?
14873
$1+a$ and $1-a$ in a ring are invertible if $a$ is nilpotent
113907
All nilpotent $2\times 2$ matrices
68167
Intersection of powers of an ideal in a Noetherian ring