ANNIHILATING-IDEAL GRAPH OF C(X)

DOI10.22044/JAS.2021.10008.1496zbMath1486.13014arXiv1808.00072OpenAlexW3203331611MaRDI QIDQ5064391

M. Badie

Publication date: 15 March 2022

Full work available at URL: https://arxiv.org/abs/1808.00072

zbMATH Keywords

clique numbercellularityannihilating-ideal graphrings of real-valued continuous functions

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Algebraic properties of function spaces in general topology (54C40) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Cites Work

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• Dominating sets of the annihilating-ideal graphs
• On the coloring of the annihilating-ideal graph of a commutative ring
• On a graph of ideals
• Zero-divisor graph of \(C(X)\)
• RINGS WHOSE ANNIHILATING-IDEAL GRAPHS HAVE POSITIVE GENUS
• Comaximal graph of $C(X)$
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• On the connectivity of the annihilating-ideal graphs
• Domination number in the annihilating-ideal graphs of commutative rings
• ON RINGS WHOSE ANNIHILATING-IDEAL GRAPHS ARE BLOW-UPS OF A CLASS OF BOOLEAN GRAPHS

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