A conception of zero-divisor graph for categories of modules

DOI10.1142/S0219498816500122zbMath1341.16003OpenAlexW2150661223MaRDI QIDQ2788757

Afshin Amini, Ehsan Momtahan, Babak Amini

Publication date: 22 February 2016

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

Full work available at URL: https://doi.org/10.1142/s0219498816500122

zbMATH Keywords

categories of modulesperfect ringsmorphismsdiameters of graphscomplements of vertices

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Automorphisms and endomorphisms (16W20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items (1)

Perpendicular graph of modules

Cites Work

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• Zero-divisor graphs of partially ordered sets
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• Zero-divisor graphs of non-commutative rings.
• A GENERALIZATION OF THE ZERO-DIVISOR GRAPH FOR MODULES
• A ZERO-DIVISOR GRAPH FOR MODULES WITH RESPECT TO THEIR (FIRST) DUAL
• Zero-divisor graph of abelian groups

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