Geodesic
On structure of finite nilpotent rings with some restrictions on zero-divisor graphs
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 122-129

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We describe alternative and associative on zero nilpotent finite rings with Eulerian, regular and complete bipartite zero-divisor graphs. Moreover, in this paper, it is proved that associative on zero nilpotent finite rings with planar zero-divisor graphs are associative.
Keywords: alternative ring, associative on zero ring, nilpotent ring, finite ring, zero-divisor graph, Eulerian graph, regular graph, complete bipartite graph, planar graph. 
@article{SEMR_2015_12_a3,
     author = {A. S. Kuzmina},
     title = {On structure of finite nilpotent rings with some restrictions on zero-divisor graphs},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {122--129},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a3/}
}
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A. S. Kuzmina. On structure of finite nilpotent rings with some restrictions on zero-divisor graphs. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 122-129. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a3/