If the number of units of a ring is odd, then the ring has cardinality as a power of two
80616
A ring with few invertible elements
84198
Step in Proof of Cardinality of Product of two Groups
93474
A Finite Boolean Ring is Generated by Finitely Many Copies of $\mathbb{Z} / 2 \mathbb{Z}$
27063
Prove that if n is an odd positive integer , then $n^2\equiv1\mod8$
69833
Number of elements not equal to their inverses is even number
92583
Prove that $N(\gamma) = 1$ if, and only if, $\gamma$ is a unit in the ring $\mathbb{Z}[\sqrt{n}]$
68915
What are the units in $\mathbb{Z}[\root 3 \of 2]$?
138383
group of units in a topological ring
70619
Supposed $a,b \in \mathbb{Z}$. If $ab$ is odd, then $a^{2} + b^{2}$ is even.
134000
Proof by Strong Induction: $n = 2^a b,\, b\,$ odd, every natural a product of an odd and a power of 2
21538
Can a ring of positive characteristic have infinite number of elements?
1576
Finding the elements in the group of units of the ring of integers modulo n that are their own inverse.
2771
A group has odd number of elements iff each element is a square, $a=b^2$.
12110
How are $2\mathbb{Z}\ncong3\mathbb{Z}$ different as rings?
41878
Cardinal of quotient rings of gaussian integers.
80551
Find Units in $\mathbb{Z}[\sqrt{n}]$
20097
Cardinality of the quotient ring $\mathbb{Z}[x]/(x^2-3,2x+4)$