. On equivalence classes of matrices over a finite field of odd characteristic

On equivalence classes of matrices

Abstract

In this article we classified up to isomorphism all finite local rings R with Jacobson radical J the index of nilpotency three and conditions: char R\neq 2, R/J=F\subseteq Z(R), dim_F J/J^2=2,  dim_F J^2=3,  J^3=0.