Zero divisor graphs for modules over commutative rings

DOI10.1216/JCA-2012-4-2-175zbMath1260.13011OpenAlexW1988443208MaRDI QIDQ1941819

Mahmood Behboodi

Publication date: 22 March 2013

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jca/1343846890

zbMATH Keywords

zero-divisor graphmultiplication-like modulesprime modulevirtually divisible modules

Mathematics Subject Classification ID

Theory of modules and ideals in commutative rings (13C99) General commutative ring theory (13A99)

Related Items (22)

The annihilator graph of modules over commutative rings ⋮ THE ANNIHILATOR GRAPH FOR MODULED OVER COMMUTATIVE RINGS ⋮ Thickness of the subgroup intersection graph of a finite group ⋮ Zero-divisor graph of semisimple group-rings ⋮ Unnamed Item ⋮ Fault-tolerant metric dimension of zero-divisor graphs of commutative rings ⋮ Zero-divisor graphs of unitaryR-modules over commutative rings ⋮ Unnamed Item ⋮ A generalization of the annihilating ideal graph for modules ⋮ The prime submodules hypergraph of a free module of finite rank over a commutative ring ⋮ Symmetric graph of a ring with involution ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A ZERO-DIVISOR GRAPH FOR MODULES WITH RESPECT TO THEIR (FIRST) DUAL ⋮ The complement of proper power graphs of finite groups ⋮ Unnamed Item ⋮ Zero divisor graphs for \(S\)-act. ⋮ A generalization of the zero-divisor graph for modules ⋮ The spectrum subgraph of the annihilating-ideal graph of a commutative ring ⋮ Zero-divisor graphs of modules via module homomorphisms ⋮ THE ZERO-DIVISOR GRAPH OF A MODULE ⋮ ANNIHILATING SUBMODULE GRAPHS FOR MODULES OVER COMMUTATIVE RINGS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Endoprime modules.
• A generalization of the classical Krull dimension for modules.
• 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
• Modules whose certain submodules are prime.
• The zero-divisor graph of a commutative semigroup
• On the zero-divisor graph of a commutative ring
• On directed zero-divisor graphs of finite rings
• Zero-divisor graphs of non-commutative rings.
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• Prime modules.
• THE ZERO-DIVISOR GRAPH OF VON NEUMANN REGULAR RINGS
• Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings
• Multiplication modules

This page was built for publication: Zero divisor graphs for modules over commutative rings