The zero-divisor graph of a ring with involution

DOI10.1142/S0219498818500500zbMath1415.16035OpenAlexW2593461534MaRDI QIDQ3133328

B. N. Waphare, Avinash Patil

Publication date: 13 February 2018

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

Full work available at URL: https://doi.org/10.1142/s0219498818500500

zbMATH Keywords

zero-divisor graphlattice of projections\(\ast\)-ringRickart \(\ast\)-ring

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Coloring of graphs and hypergraphs (05C15) Conditions on elements (16U99)

Related Items (6)

Unnamed Item ⋮ Symmetric graph of a ring with involution ⋮ On the zero-divisor graph of Rickart *-rings ⋮ Characterizations of connected orthogonality graphs of projections of Rickart ∗-rings ⋮ Unnamed Item ⋮ Idempotent graphs, weak perfectness, and zero-divisor graphs

Cites Work

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• The zero-divisor graph of a reduced ring
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• On the zero-divisor graph of a commutative ring
• Complemented zero-divisor graphs and Boolean rings
• Zero-divisor graphs of non-commutative rings.
• THE ZERO-DIVISOR GRAPHS OF RINGS AND SEMIRINGS

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