A note on zero-divisor graph of amalgamated duplication of a ring along an ideal

DOI10.1016/j.akcej.2016.11.007zbMath1372.05099OpenAlexW2560606105MaRDI QIDQ2409765

Yanyan Li

Publication date: 13 October 2017

Published in: AKCE International Journal of Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.akcej.2016.11.007

zbMATH Keywords

genusplanar graphdominationcomplete graphouterplanar graph

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ideals and multiplicative ideal theory in commutative rings (13A15) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Related Items (2)

On the Comaximal (Ideal) Graph Associated With Amalgamated Algebra ⋮ Unnamed Item

Cites Work

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• A construction of Gorenstein rings
• 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
• Zero-divisor graphs of idealizations
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• The Converse to a Theorem of Sharp on Gorenstein Modules

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