Smarandache Vertices of the Graphs Associated to the Commutative Rings

DOI10.1080/00927872.2012.744025zbMath1269.05056OpenAlexW2035072577MaRDI QIDQ5326273

Amir M. Rahimi

Publication date: 5 August 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.744025

zbMATH Keywords

Smarandache vertex of a graphSmarandache zero-divisorzero-divisor graph of a ring (with respect to an ideal)

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)

Related Items

Some results on the complement of the comaximal ideal graphs of commutative rings, The annihilation graphs of commutator posets and lattices with respect to an ideal, Unnamed Item, Unnamed Item, Some results on a spanning subgraph of the complement of the annihilating-ideal graph of a commutative reduced ring, The exact zero-divisor graph of a reduced ring, Some results on the complement of the annihilating ideal graph of a commutative ring

Cites Work

• The \(k\)-zero-divisor hypergraph of a commutative ring
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• The zero-divisor graph of a commutative semigroup
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• On the zero-divisor graph of a commutative ring
• An Ideal-Based Zero-Divisor Graph of a Commutative Ring
• THE ZERO-DIVISOR GRAPH OF VON NEUMANN REGULAR RINGS
• Zero-Divisor Graph with Respect to an Ideal
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item