The diameter of the zero-divisor graph of an amalgamated algebra

DOI10.1007/s13348-018-0236-8zbMath1495.13006OpenAlexW2903134968WikidataQ128836599 ScholiaQ128836599MaRDI QIDQ2323312

Y. Azimi

Publication date: 30 August 2019

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-018-0236-8

zbMATH Keywords

amalgamated duplicationidealizationamalgamated 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)

Related Items (4)

Associated prime ideals of the amalgamated algebra ⋮ A Survey on Algebraic and Homological Properties of Amalgamated Algebras of Commutative Rings ⋮ The zero-divisor graph of an amalgamated algebra ⋮ Comaximal graph of amalgamated algebras along an ideal

Cites Work

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• Properties of chains of prime ideals in an amalgamated algebra along an ideal
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• Zero-divisor graphs of amalgamated duplication of a ring along an ideal
• 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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