论文标题
有限的非交易代数中的最大解决方案数量为$ x^q = x $
Maximum number of solutions of $x^q = x$ in a finite noncommutative algebra
论文作者
论文摘要
我们在有限的非交换代数中,在具有$ q $元素的字段上获得了$ x^q = x $的解决方案数量。此外,我们完全表征那些获得最大数量的环。
We obtain a bound on the number of solutions of $x^q=x$ in a finite noncommutative algebra over a field with $q$ elements. Furthermore, we completely characterize those rings for which this maximum number is attained.