Commutative rings whose zero-divisor graph is a proper refinement of a star graph

DOI10.1007/S10114-011-8010-9zbMath1220.13004OpenAlexW2060233246MaRDI QIDQ546376

Tong Suo Wu, Qiong Liu

Publication date: 24 June 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-8010-9

zbMATH Keywords

connected componentszero-divisor graphsminimal generating setfinite commutative local rings

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structure of finite commutative rings (13M05) Local rings and semilocal rings (13H99) General commutative ring theory (13A99)

Related Items (1)

Line zero divisor graphs

Cites Work

• Unnamed Item
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• Rings of order \(p^5\). II: Local rings
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
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• Corrigendum to ``On zero-divisor graphs of small finite commutative rings: [Discrete Math. 307 (2007) 1155-1166]
• Planar zero-divisor graphs
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• The Structure of Finitec-Local Rings
• The Zero-Divisor Graphs Which Are Uniquely Determined By Neighborhoods

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