On compressed zero-divisor graphs of finite commutative local rings

DOI10.33048/semi.2021.18.115zbMath1492.16020OpenAlexW4206496359MaRDI QIDQ2145049

Evgeniĭ Vladimirovich Zhuravlev, Olga Alexandrovna Filina

Publication date: 17 June 2022

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2021.18.115

zbMATH Keywords

local ringzero-divisor graphfinite ring

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10)

Cites Work

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• Coloring of commutative rings
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• Rings of order \(p^5\). I: Nonlocal rings
• Rings of order \(p^5\). II: Local rings
• Rings of order \(p^ 3\).
• Compressed zero-divisor graphs of finite associative rings
• Planar zero-divisor graphs
• Zero-divisor graphs of non-commutative rings.
• Unit groups of cube radical zero commutative completely primary finite rings
• FINITE RINGS WITH EULERIAN ZERO-DIVISOR GRAPHS
• Local Rings with Genus Two Zero Divisor Graph
• The Zero Divisor Graphs of Commutative Local Rings of Orderp⁴andp⁵

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