@article{Moore2014JustinTM, title={Justin Tatch Moore}, author={Justin Tatch Moore}, journal={The American Mathematical Monthly}, year={2014}, volume={121}, pages={260-262} }

- Published 2014 in The American Mathematical Monthly
DOI:10.4169/amer.math.monthly.121.03.260

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

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