Describing ring varieties in which all finite rings have Hamiltonian zero-divisor graphs.

DOI10.1007/s10469-013-9228-7zbMath1284.16025OpenAlexW1984339968MaRDI QIDQ384399

A. S. Kuz'mina, Yuriĭ Nikolaevich Mal'tsev

Publication date: 27 November 2013

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-013-9228-7

zbMATH Keywords

polynomial identitiesHamiltonian graphszero-divisor graphsdecomposable finite ringsfinite nilpotent ringsvarieties of associative rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (1)

Finite rings with some restrictions on zero-divisor graphs.

Cites Work

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• Zero-divisor graphs of non-commutative rings.
• FINITE RINGS WITH EULERIAN ZERO-DIVISOR GRAPHS
• Description of finite nonnilpotent rings with planar zero-divisor graphs
• NILPOTENT FINITE RINGS WITH PLANAR ZERO-DIVISOR GRAPHS

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