The zero-divisor graph of an amalgamated algebra

DOI10.1007/s12215-020-00554-xzbMath1478.13010OpenAlexW3084100930MaRDI QIDQ2243643

Mohammad-Reza Doustimehr, Y. Azimi

Publication date: 11 November 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00554-x

zbMATH Keywords

trivial extensionamalgamated duplicationamalgamated algebragraph of zero-divisor

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative ring extensions and related topics (13B99) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items (2)

Associated prime ideals of the amalgamated algebra ⋮ A Survey on Algebraic and Homological Properties of Amalgamated Algebras of Commutative Rings

Cites Work

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• The diameter of a zero divisor graph
• Zero-divisor graphs of idealizations
• New Algebraic Properties of an Amalgamated Algebra Along an Ideal
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• Amalgamated algebras along an ideal
• Zero-divisor graphs of amalgamations
• Prüfer conditions in amalgamated algebras
• The Two-Triangle Case of the Acquaintance Graph

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