Quick Post

From the blog

  • n-agonal numbers

    Numbers are awesome. Here’s why. Yesterday I made a video about the so-called “n-gonal numbers”. I’ll explain what they are as we go. Let’s start…

  • A Diophantine sistem.

    We want to determine all integers x₁,…,x₂₀₁₁ such that If such integers exist, by Fermat’s little theorem we would have that xi⁷=xi (mod 7) for…

  • If K is a field (K,+) it is not isomorphic to (K{0},•).

    Let (K,+,•) be a field, let us prove that its additive group (K,+) is not isomorphic to the group of invertibles of K, that is…

  • Ring with 4 elements

    Let R be a unit ring with 4 elements. Let us prove that R is commutative. R ={0,1,a,b}. Let x,y be in R and let…