2 problems

Let $R$ be a commutative finite chain ring (CFCR) of nilpotency index $e$, and let $n$ be a positive integer. Let $C_n(R)$ denote the ring of $n\times n$ circulant matrices over…

Let $R$ be a commutative finite chain ring (CFCR) of nilpotency index $e$, let $n$ be a positive integer, and suppose that the maximal ideal of $R$ is generated by $\gamma$. Write…