ZERO DIVISOR GRAPHS OF LATTICES AND PRIMAL IDEALS

DOI10.1142/S1793557112500374zbMath1256.05098OpenAlexW2042491618MaRDI QIDQ4900106

Vinayak Joshi, H. Y. Pourali, B. N. Waphare

Publication date: 11 January 2013

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557112500374

zbMATH Keywords

idealprime idealsemiprime idealassociated prime idealzero divisor graphprimal ideal in latticesweakly primal ideal in lattices

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Ideals and multiplicative ideal theory in commutative rings (13A15) Lattices (06B99)

Related Items (9)

Zero-divisor graphs of matrices over lattices ⋮ Diameter and girth of the multiplicative zero-divisor graph of multiplicative lattices ⋮ On the zero divisor graphs of \(pm\)-lattices ⋮ On generalized zero divisor graph of a poset ⋮ The graph of equivalence classes of zero divisors ⋮ Beck's conjecture and multiplicative lattices ⋮ COMPLEMENT OF THE ZERO DIVISOR GRAPH OF A LATTICE ⋮ The zero divisor graphs of Boolean posets ⋮ Some properties of the weak product of graphs on lattices

Cites Work

• On the zero divisor graphs of \(pm\)-lattices
• Coloring of commutative rings
• Semiprime ideals in general lattices
• Zero divisor graph of a poset with respect to an ideal
• The diameter of a zero divisor graph
• On primal and weakly primal ideals over commutative semirings
• ZERO-DIVISOR GRAPHS WITH RESPECT TO PRIMAL AND WEAKLY PRIMAL IDEALS
• Zero-Divisor Graph with Respect to an Ideal

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