摘要
本文讨论了非交换除环D上的特殊二次方程(x-β)(x-α)=0的右零点分布问题,并且由此而得到了一种求解四元数环R(i,j,k)上的二次方程x ̄2+ax+b=0的新方法。
We discuss the distribution problem of the right zeros of the special quadratic equation(x一β)(x一α)= 0 over noncommutative division rings, and whereby we obtain a newmethod for solving the quadratic equation x ̄2 +αx+b=0 over quaternion rings R(i,j,k).