The spectrum subgraph of the annihilating-ideal graph of a commutative ring

DOI10.1142/S0219498815501303zbMath1318.13006OpenAlexW2136457235MaRDI QIDQ5255751

Reza Taheri, Mahmood Behboodi, Abolfazl Tehranian

Publication date: 19 June 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498815501303

zbMATH Keywords

annihilator idealcommutative ringsannihilating-ideal graphzero divisorspectrum graph

Mathematics Subject Classification ID

Structural characterization of families of graphs (05C75) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (2)

Some classes of perfect annihilator-ideal graphs associated with commutative rings ⋮ Some classes of perfect strongly annihilating-ideal graphs associated with commutative rings

Cites Work

• Dominating sets of the annihilating-ideal graphs
• Minimal prime ideals and cycles in annihilating-ideal graphs
• On the coloring of the annihilating-ideal graph of a commutative ring
• The total graph of a commutative ring
• The zero-divisor graph of a commutative ring
• Rings with the dual of the isomorphism theorem.
• The zero-divisor graph of a commutative semigroup
• Zero divisor graphs for modules over commutative rings
• Zero-divisor graphs of nilpotent-free semigroups.
• RINGS WHOSE ANNIHILATING-IDEAL GRAPHS HAVE POSITIVE GENUS
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• A ZERO-DIVISOR GRAPH FOR MODULES WITH RESPECT TO THEIR (FIRST) DUAL
• The Classification of the Annihilating-Ideal Graphs of Commutative Rings
• The Annihilating-Ideal Graph of a Commutative Ring with Respect to an Ideal
• Intersection graphs of ideals of rings

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