The i-extended zero-divisor graphs of idealizations

DOI10.1142/s0219498824501275OpenAlexW4319661747MaRDI QIDQ6192158

Raja L'Hamri, Brahim El Alaoui, Driss Bennis

Publication date: 11 March 2024

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

Full work available at URL: https://doi.org/10.1142/s0219498824501275

zbMATH Keywords

zero-divisor graphsidealizationextended zero-divisor graphsfiltration of \(i\)-extended zero-divisor graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ideals and multiplicative ideal theory in commutative rings (13A15) General commutative ring theory (13A99) Commutative ring extensions and related topics (13B99) Combinatorial aspects of commutative algebra (05E40) Arithmetic rings and other special commutative rings (13F99)

Cites Work

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• Idealization of a module
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• The zero-divisor graph of a commutative ring
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• Zero-divisor graphs of idealizations
• EXTENDED ZERO-DIVISOR GRAPHS OF IDEALIZATIONS
• On the Zero-Divisor Graph of a Ring
• THE ZERO-DIVISOR GRAPH OF VON NEUMANN REGULAR RINGS
• On the extended zero divisor graph of commutative rings
• DIVISIBILITY CONDITIONS IN COMMUTATIVE RINGS WITH ZERODIVISORS
• Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings

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