Zero-divisor graphs with respect to ideals in noncommutative rings.

DOI10.5402/2011/459547zbMath1239.16036OpenAlexW2126138046WikidataQ58689439 ScholiaQ58689439MaRDI QIDQ410651

Shahabaddin Ebrahimi Atani, Ahamd Yousefian Darani

Publication date: 3 April 2012

Published in: ISRN Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2011/459547

zbMATH Keywords

prime idealsdiameterszero-divisorsideal-based zero-divisor graphsprimal ideals

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Conditions on elements (16U99) Ideals in associative algebras (16D25)

Related Items

On generalized zero-divisor graphs of a non-commutative ring with respect to an ideal, Unnamed Item

Cites Work

• Unnamed Item
• The zero-divisor graph of a commutative ring
• The zero-divisor graph of a commutative semigroup
• The diameter of a zero divisor graph
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• Primal Ideals and Isolated Components In Noncommutative Rings
• Primal modules
• An Ideal-Based Zero-Divisor Graph of a Commutative Ring
• Rings having zero-divisor graphs of small diameter or large girth
• Prime Ideals in General Rings
• On Primal Ideals