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More on the annihilator graph of a commutative ring

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Publication:515231
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DOI10.14492/hokmj/1498788098zbMath1362.13003OpenAlexW2730978185MaRDI QIDQ515231

M. Bakhtyiari, Mohammad Javad Nikmehr, Reza Nikandish

Publication date: 13 March 2017

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1498788098


zbMATH Keywords

zero-divisor graphassociated prime idealannihilator graphnon-reduced ring


Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Graph theory (05C99) Commutative ring extensions and related topics (13B99)


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THE ANNIHILATOR GRAPH FOR MODULED OVER COMMUTATIVE RINGS ⋮ The genus two class of graphs arising from rings ⋮ Metric dimension of complement of annihilator graphs associated with commutative rings ⋮ Twin-free cliques in annihilator graphs of commutative rings ⋮ When the annihilator-ideal graph is planar or complete bipartite graph ⋮ The metric dimension of annihilator graphs of commutative rings ⋮ Annihilator graphs of MV-algebras ⋮ The annihilator graph of a 0-distributive lattice ⋮ On the strong metric dimension of annihilator graphs of commutative rings




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