Geodesic
On the classification of finite commutative local rings
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 625-638

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In this article we classified up to isomorphism all finite commutative local ring with Jacobson radical $ J $ the index of nilpotency four and conditions: $$\mathrm{char}\, R=2,\ \dim_{R/J} J/J^2=2,\ \dim_{R/J} J^2/J^3=2,\ \dim_{R/J} J^3=1.$$
Keywords: finite rings, local rings. 
@article{SEMR_2015_12_a20,
     author = {E. V. Zhuravlev},
     title = {On the classification of finite commutative local rings},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {625--638},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a20/}
}
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E. V. Zhuravlev. On the classification of finite commutative local rings. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 625-638. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a20/