The prime submodules hypergraph of a free module of finite rank over a commutative ring

DOI10.1142/S0219498823502377zbMath1530.05199OpenAlexW4284993684WikidataQ114072448 ScholiaQ114072448MaRDI QIDQ6090972

R. Nekooei, F. Mirzaei

Publication date: 21 November 2023

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

Full work available at URL: https://doi.org/10.1142/s0219498823502377

zbMATH Keywords

Steiner systemsprime submoduleshypergraphscliqueTurán graphs\(2\)-colorable graphsQ-prime

Mathematics Subject Classification ID

Hypergraphs (05C65) Steiner systems in finite geometry (51E10) Coloring of graphs and hypergraphs (05C15) Combinatorial aspects of commutative algebra (05E40) Theory of modules and ideals in commutative rings described by combinatorial properties (13C70)

Cites Work

• The \(k\)-zero-divisor hypergraph of a commutative ring
• Coloring of commutative rings
• Zero divisor graphs for modules over commutative rings
• Every 8-uniform 8-regular hypergraph is 2-colorable
• On Prime Submodules of a Finitely Generated Free Module Over a Commutative Ring
• Graph Theory
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