FINITE RINGS WITH EULERIAN ZERO-DIVISOR GRAPHS

DOI10.1142/S0219498812500557zbMath1260.16020MaRDI QIDQ2892996

A. S. Kuz'mina

Publication date: 25 June 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Eulerian graphsfinite ringszero 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) Eulerian and Hamiltonian graphs (05C45)

Related Items

On finite rings in which zero-divisor graphs satisfy the Dirac's condition. ⋮ On the zero divisor graphs of the ring of Lipschitz integers modulo \(n\) ⋮ On compressed zero-divisor graphs of finite commutative local rings ⋮ Unnamed Item ⋮ Finite rings with Eulerian nilpotent graphs ⋮ Describing ring varieties in which all finite rings have Hamiltonian zero-divisor graphs. ⋮ Compressed zero-divisor graphs of finite associative rings ⋮ Compressed and partially compressed zero-divisor graphs of finite associative rings ⋮ On zero divisor graphs of finite commutative local rings ⋮ Finite rings with some restrictions on 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
• Zero square rings
• NILPOTENT FINITE RINGS WITH PLANAR ZERO-DIVISOR GRAPHS
• Solvable and locally closed modules and rings