The zero-divisor graph of a reduced ring

DOI10.1016/j.jpaa.2006.08.008zbMath1108.13009OpenAlexW2052580420MaRDI QIDQ872188

Karim Samei

Publication date: 27 March 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.08.008

Mathematics Subject Classification ID

Divisibility and factorizations in commutative rings (13A05) Theory of modules and ideals in commutative rings (13C99) General commutative ring theory (13A99)

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Distributive lattices with strong endomorphism kernel property as direct sums ⋮ On the zero divisor graphs of \(pm\)-lattices ⋮ Some properties of the complement of the zero-divisor graph of a commutative ring ⋮ Beck's conjecture and multiplicative lattices ⋮ On the line graph for zero-divisors of \(C(X)\) ⋮ Computing vertex-based eccentric topological descriptors of zero-divisor graph associated with commutative rings ⋮ The exact zero-divisor graph of a reduced ring ⋮ Local dissymmetry on graphs and related algebraic structures ⋮ Computing Wiener and hyper-Wiener indices of zero-divisor graph of \(\mathbb{Z}_{g^3}\times\mathbb{Z}_{\mathfrak{I}_1\mathfrak{I}_2}\) ⋮ Construction algorithm for zero divisor graphs of finite commutative rings and their vertex-based eccentric topological indices ⋮ The zero-divisor graph of a ring with involution

Cites Work

• Reduced multiplication modules
• The minimal prime spectrum of a reduced ring
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• On the zero-divisor graph of a commutative ring
• Stone-Čech compactification of a product
• Modules with decompositions that complement direct summands
• Zero-divisor graph of \(C(X)\)
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• On Summand Ideals in Commutative Reduced Rings
• z⁰-Ideals and some special commutative rings
• Two annihilator conditions:property(A)and(A.C.)
• On the maximal spectrum of commutative semiprimitive rings
• THE ZERO-DIVISOR GRAPH OF VON NEUMANN REGULAR RINGS
• On ideals consisting entirely of zero divisors
• Central Sets and Radii of the Zero-Divisor Graphs of Commutative Rings
• The Space of Minimal Prime Ideals of a Commutative Ring
• Commutative Rings in Which Every Prime Ideal is Contained in a Unique Maximal Ideal
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