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Aurel's user avatar
Aurel's user avatar
Aurel
  • Member for 5 years, 7 months
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5 votes
Accepted

$M$ is a cyclic module if and only if it has a single invariant factor

4 votes
Accepted

Surjection from a powerset onto $\Bbb{N}$ is always possible

2 votes
Accepted

Showing a property of the zariski topology

2 votes
Accepted

How do you determine if a matrix is invertible by investigating the equation Ax = I?

2 votes

Integers points of an elliptic curve

1 vote

Finding the quotient and the remainder in $\mathbb{Z}_5[x]$

1 vote
Accepted

Proof that $\sum\limits_i \frac{(p-1)!}i$ is divisible by $p$

1 vote

How does one understand and resolve Zeno's paradox?

1 vote
Accepted

$G$ is a group. Prove that $f(x)=ax$ is bijective

1 vote

Let $A$ be a set with $m$ elements and let $B$ be a set with $n$ elements where $m,n\in \omega$ and $m>n$. If $f:A\to B$, then $f$ is not injective

1 vote
Accepted

Prove that the free module over $R$ generated by a single element is isomorphic to $R$ as a module over itself

1 vote
Accepted

Rudin proof: $\mathbb{Q}$ is countable

0 votes

3 cards are drawn at random from a pack of well shuffled 52 cards.find the probability that all the 3 cards are of the same suit.