On the Carmichael rings, Carmichael ideals and Carmichael polynomials

Sunghan Bae, Su Hu, Min Sha

Motivated by Carmichael numbers, we say that a finite ring $R$ is a Carmichael ring if $a^{|R|}=a$ for any $a\in R$. We then call an ideal $I$ of a ring $R$ as a Carmichael ideal…