Clean graph of a ring

DOI10.1142/S0219498821501565zbMath1477.13005OpenAlexW3043781822MaRDI QIDQ5157905

Ece Yetkin Celikel, Cihat Abdioglu, Mohammad Habibi

Publication date: 20 October 2021

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

Full work available at URL: https://doi.org/10.1142/s0219498821501565

zbMATH Keywords

idempotentchromatic numberclique numberunitclean graph

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)

Cites Work

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• Clean endomorphism rings.
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• EXTENSIONS OF CLEAN RINGS
• COMMUTATIVE RINGS WHOSE ELEMENTS ARE A SUM OF A UNIT AND IDEMPOTENT
• Lifting Idempotents and Exchange Rings
• Countable linear transformations are clean
• Zero-divisor graph of matrix rings and Hurwitz rings
• RINGS IN WHICH ELEMENTS ARE UNIQUELY THE SUM OF AN IDEMPOTENT AND A UNIT
• ON THE IDEMPOTENT GRAPH OF A RING
• The Armendariz graph of a ring
• Analysis of Zagreb indices over zero-divisor graphs of commutative rings
• The Inclusion Ideal Graph of Rings

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