The total zero-divisor graph of a commutative ring

DOI10.1142/S0219498819501901zbMath1423.13055arXiv1803.05628OpenAlexW2962855971MaRDI QIDQ5235364

Nik Stopar, Alen Ðurić, Sara Jevđenić, Polona Oblak

Publication date: 10 October 2019

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

Full work available at URL: https://arxiv.org/abs/1803.05628

zbMATH Keywords

commutative ringtotal graphzero-divisor graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) General commutative ring theory (13A99) Combinatorial aspects of commutative algebra (05E40)

Related Items (4)

On a spanning subgraph of the annihilating-ideal graph of a commutative ring ⋮ On the complement of the total zero-divisor graph of a commutative ring ⋮ Compressed zero-divisor graphs of matrix rings over finite fields ⋮ Categorial properties of compressed zero-divisor graphs of finite commutative rings

Cites Work

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• The total graph and regular graph of a commutative ring
• The total graph of a commutative ring
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• On the metric dimension of a zero-divisor graph
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• The Zero-Divisor Graph of a Commutative Semigroup: A Survey
• The Metric Dimension of the Total Graph of a Finite Commutative Ring
• Central Sets and Radii of the Zero-Divisor Graphs of Commutative Rings

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