Commutative Rings Whose Cozero-Divisor Graphs are Unicyclic or of Bounded Degree

DOI10.1080/00927872.2012.745867zbMath1292.05127OpenAlexW2021987077MaRDI QIDQ5413980

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Publication date: 2 May 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.745867

zbMATH Keywords

girthlocal ringunicycliccozero-divisor graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ideals and multiplicative ideal theory in commutative rings (13A15) Local rings and semilocal rings (13H99)

Related Items (12)

The M-intersection graph of ideals of a commutative ring ⋮ The proof of a conjecture in Jacobson graph of a commutative ring ⋮ The complement of the intersection graph of ideals of a poset ⋮ On the cozero-divisor graphs associated to rings ⋮ Coloring of cozero-divisor graphs of commutative von Neumann regular rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The annihilating graph of a ring ⋮ Metric and strong metric dimension in cozero-divisor graphs ⋮ The intersection graph of ideals of ℤm ⋮ The coloring of the cozero-divisor graph of a commutative ring ⋮ A generalized ideal-based zero-divisor graph

Cites Work

• Unnamed Item
• The total graph and regular graph of a commutative ring
• On the diameter and girth of a zero-divisor graph
• The total graph of a commutative ring
• The zero-divisor graph of a commutative ring
• Rings of order \(p^5\). I: Nonlocal rings
• On the zero-divisor graph of a commutative ring
• Planar zero-divisor graphs
• Zero-divisor graphs of non-commutative rings.

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