Zero-divisor graphs of partially ordered sets

DOI10.1016/j.aml.2009.12.002zbMath1193.06002OpenAlexW2017674405MaRDI QIDQ963831

Zhan-Jun Xue, San-Yang Liu

Publication date: 14 April 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.12.002

zbMATH Keywords

prime idealpartially ordered setzero-divisor

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Graph representations (geometric and intersection representations, etc.) (05C62)

Related Items

Projective zero divisor graphs of partially ordered sets ⋮ On reduced zero-divisor graphs of posets ⋮ Unnamed Item ⋮ Planar zero divisor graphs of partially ordered sets ⋮ Zero-divisor graph of semisimple group-rings ⋮ Distributive lattices with strong endomorphism kernel property as direct sums ⋮ Lattice automorphism and zero‐divisor graphs of lattices ⋮ On the diameter and girth of zero-divisor graphs of posets ⋮ AN IDEAL THEORETIC APPROACH TO COMPLETE PARTITE ZERO-DIVISOR GRAPHS OF POSETS ⋮ A ZERO-DIVISOR GRAPH FOR MODULES WITH RESPECT TO THEIR (FIRST) DUAL ⋮ A conception of zero-divisor graph for categories of modules ⋮ Unnamed Item

Cites Work

• Unnamed Item
• On zero-divisor graphs of small finite commutative rings
• On bipartite zero-divisor graphs
• Zero-divisor semigroups and refinements of a star graph.
• Coloring of commutative rings
• Beck's coloring of a commutative ring
• Zero divisor graphs of semigroups.
• The zero-divisor graph of a commutative semigroup
• Complemented zero-divisor graphs and Boolean rings
• On Dilworth's decomposition theorem for partially ordered sets

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