Some ring theoretic equivalents to the Axiom of Choice Professor

  • Henry E. Heatherly
  • Published 2005
This paper gives an historically oriented survey of some propositions concerning the existence of maximal one or two sided ideals, and their relation to the Axiom of Choice in Zermelo-Fraenkel set theory. It is observed that the statement “if a ring contains a nonzero idempotent element, then the ring has a maximal left and a maximal right ideal,” is… CONTINUE READING