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

Chintala, Vineeth

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.

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