Simple and semisimple near-rings
Simple and semisimple near-rings
Algebraic systems with addition and multiplication which satisfy all of the skew-field axioms except possibly one of the distributive laws have been studied occasionally. Dickson [1] gave examples which showed that such systems-called Fastkorper by Zassenhauscan actually be nondistributive. Zassenhaus [2] proved that Dickson's examples include all but seven of …