The exact zero-divisor graph of a reduced ring

DOI10.1007/s13226-021-00086-9zbMath1483.13018OpenAlexW3177231098MaRDI QIDQ2065387

S. Visweswaran, Premkumar T. Lalchandani

Publication date: 7 January 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-021-00086-9

zbMATH Keywords

chromatic numbergirthclique numbervon Neumann regular ringreduced ringexact zero-divisor

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ideals and multiplicative ideal theory in commutative rings (13A15) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items

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Cites Work

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• The zero-divisor graph of a reduced ring
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• Free resolutions over short Gorenstein local rings
• Properties of rings with a finite number of zero divisors
• Dominating Sets of Some Graphs Associated to Commutative Rings
• Zero-divisor graphs in commutative rings
• The Laskerian Property, Power Series Rings and Noetherian Spectra
• THE ZERO-DIVISOR GRAPH OF VON NEUMANN REGULAR RINGS
• On Domination in Zero-Divisor Graphs
• Smarandache Vertices of the Graphs Associated to the Commutative Rings
• A textbook of graph theory