Geodesic
On zero divisor graphs of finite commutative local rings
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 465-480

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We describe the zero divisor graph of a commutative finite local rings $R$ of characteristic $2$ with Jacobson radical $J$ such that ${\dim_F J/J^2=2}$, ${\dim_F J^2/J^3=2}$, ${\dim_F J^3=1}$, $J^4=(0)$ and $F=R/J\cong GF(2^r)$, the finite field of $2^r$ elements.
Keywords: finite ring, local ring, zero divisor graph. 
@article{SEMR_2019_16_a6,
     author = {E. V. Zhuravlev and A. S. Monastyreva},
     title = {On zero divisor graphs of finite commutative local rings},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {465--480},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a6/}
}
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E. V. Zhuravlev; A. S. Monastyreva. On zero divisor graphs of finite commutative local rings. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 465-480. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a6/