THE DIAMETER OF THE ZERO-DIVISOR GRAPH OF THE IDEALIZATION OF THE RING R IN R

DOI10.17654/NT039050603zbMath1499.13008OpenAlexW2762018904MaRDI QIDQ5075047

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Publication date: 10 May 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/nt039050603

zbMATH Keywords

diametercommutative ringzero-divisor graphzero-divisoridealization

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Cites Work

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• Idealization of a module
• On the diameter and girth of a zero-divisor graph
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• The zero-divisor graph of a commutative ring
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• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• On the zero-divisor graph of a commutative ring
• The diameter of a zero divisor graph
• Zero-divisor graphs of idealizations
• Zero-divisor graphs in commutative rings
• An Ideal-Based Zero-Divisor Graph of a Commutative Ring
• THE ZERO-DIVISOR GRAPH OF VON NEUMANN REGULAR RINGS
• Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings

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