Associate class graph of zero-divisors of a commutative ring

DOI10.1142/S0219498820501558zbMath1451.13022OpenAlexW2963352245WikidataQ114614600 ScholiaQ114614600MaRDI QIDQ5132290

Yansheng Wu, Gaohua Tang, Guangke Lin

Publication date: 10 November 2020

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

Full work available at URL: https://doi.org/10.1142/s0219498820501558

zbMATH Keywords

Beck's conjecturediameterconnectivitygirthzero-divisor graphassociate classassociate class graph

Mathematics Subject Classification ID

Graph theory (05C99) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items (2)

Categorial properties of compressed zero-divisor graphs of finite commutative rings ⋮ Beck's coloring of finite product of commutative ring with unity

Cites Work

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• Beck's conjecture and multiplicative lattices
• A new zero-divisor graph contradicting Beck's conjecture, and the classification for a family of polynomial quotients
• Some remarks on the compressed zero-divisor graph
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• The zero-divisor graph of a commutative semigroup
• A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors
• Local Rings with Genus Two Zero Divisor Graph
• Comments over some non-chromatic rings
• Some non-chromatic rings
• The Zero Divisor Graphs of Commutative Local Rings of Orderp⁴andp⁵

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