Prove that $R$ has unity
51428
Do these two observations suffice to show that a finite boolean ring must be of the form $\mathbb{Z}_2\times\cdots\times\mathbb{Z}_2$?
34768
Proving $(p \oplus q) \oplus r=p \oplus (q \oplus r)$
50159
How to prove if $\Bbb R^n=W_1\cup W_2\cup \cdots\cup $ where each $W_k$ is a subspace, then $\Bbb R^n=W_i$ holds for some $i$
102485
Showing that a topological space is ${\rm T}_1$
20728
Proof that this is independent
4610
Proving an identity with a combinatorial proof: $\binom{n}{k}\binom{k}{r}=\binom{n}{r}\binom{n-r}{k-r}$
80827
Let $A$ be a nonempty subset of $\mathbb{R}$. Prove...
32772
Proving units in a ring
109760
Showing that the product of all $n$th Roots of Unity is $(-1)^{n+1}$
43478
Prove that: $ m_a + m_b + m_c \le 4R + r $
121465
$R[x]$ has a subring isomorphic to $R$.
150300
Root of unity for $n+1$
134989
Prove that if the identity is written as the product of $r$ transpositions, then $r$ is an even number
140968
Proof for Property of Complex Numbers
145397
How to prove that for every $i$, $a_i = i$
3543
Prove set is basis for $R^3$
61640
Prove c exists for f:[0,1] -> R