Finite rings with complete bipartite zero-divisor graphs.

DOI10.3103/S1066369X12030048zbMath1268.16024MaRDI QIDQ1759249

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

Publication date: 20 November 2012

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite ringscomplete bipartite graphszero-divisor graphs

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

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

Cites Work

• Unnamed Item
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• On zero-divisor graphs of finite rings.
• Planar zero-divisor graphs
• NILPOTENT FINITE RINGS WITH PLANAR ZERO-DIVISOR GRAPHS