ANNIHILATING SUBMODULE GRAPHS FOR MODULES OVER COMMUTATIVE RINGS

DOI10.22044/jas.2015.487zbMath1470.13018OpenAlexW1509526137MaRDI QIDQ4956357

Mohammad Baziar

Publication date: 1 September 2021

Full work available at URL: http://jas.shahroodut.ac.ir/article_487_8c19ee23c3f1660ea1bf09bce9b1e051.pdf

zbMATH Keywords

zero-divisor graphannihilating submodule graphweakly annihilating submodule

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other special types of modules and ideals in commutative rings (13C13)

Cites Work

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• The total graph of a commutative ring
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• The zero-divisor graph of a commutative semigroup
• On the zero-divisor graph of a commutative ring
• A note on graphical representation of rings
• Zero divisor graphs for modules over commutative rings
• On a graph of ideals
• Comaximal graph of commutative rings
• On directed zero-divisor graphs of finite rings
• Zero-divisor graphs of non-commutative rings.
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• THE ZERO-DIVISOR GRAPH OF VON NEUMANN REGULAR RINGS
• The Classification of the Annihilating-Ideal Graphs of Commutative Rings
• Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings
• Multiplication modules

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