Justin Tatch Moore

  title={Justin Tatch Moore},
  author={Justin Tatch Moore},
  journal={The American Mathematical Monthly},
This note gives a “Zorn’s Lemma” style proof that any two bases in a vector space have the same cardinality. One of the most fundamental notions in linear algebra is that of a basis: A subset B of a vector space V is a basis if every element of V is a unique linear combination of elements of B. The following theorem of Georg Hamel expresses one of the most… CONTINUE READING