The regular digraph of ideals of a commutative ring

DOI10.1007/s10474-011-0139-6zbMath1265.05283OpenAlexW2038638518MaRDI QIDQ2428617

Mohammad Javad Nikmehr, Farzad Shaveisi

Publication date: 26 April 2012

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-011-0139-6

zbMATH Keywords

chromatic numberclique numberregular digraphArtinian ring

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Directed graphs (digraphs), tournaments (05C20) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items

On the girth of regular digraph of ideals of an Artinian ring ⋮ On the regular graph of ideals of total ring of fractions ⋮ The \(M\)-principal graph of a commutative ring ⋮ The regular digraph associated to a poset ⋮ The Zariski topology graph on scheme ⋮ The unit graph of a left Artinian ring ⋮ The nil-graph of ideals of a commutative ring ⋮ The central vertices and radius of the regular graph of ideals ⋮ CAYLEY SUM GRAPHS OF IDEALS OF A COMMUTATIVE RING ⋮ A generalized ideal-based zero-divisor graph ⋮ ON THE REGULAR DIGRAPH OF IDEALS OF COMMUTATIVE RINGS

Cites Work

• The total graph and regular graph of a commutative ring
• The zero-divisor graph of a commutative ring
• The zero-divisor graph of a commutative semigroup
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