Geodesic
On equivalence classes of matrices over a finite field of odd characteristic
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1200-1210

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In this article we classified up to isomorphism all finite local rings $R$ with Jacobson radical $J$ and conditions: $$\mathrm{char} R\neq 2,\ R/J=F\subseteq Z(R),\ {\dim_F J/J^2=2},\ {\dim_F J^2=3},\ {J^3=0}.$$
Keywords: finite rings, local rings. 
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     author = {E. V. Zhuravlev},
     title = {On equivalence classes of matrices over a finite field of odd characteristic},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1200--1210},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a12/}
}
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E. V. Zhuravlev. On equivalence classes of matrices over a finite field of odd characteristic. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1200-1210. http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a12/