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Communications in Algebra Volume 30, 2002 - Issue 2
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Original Articles

THE ZERO-DIVISOR GRAPH OF VON NEUMANN REGULAR RINGS

Ron Levy Department of Mathematical Sciences, George Mason University, Fairfax, VA, 22030, U.S.A.
&
Jay Shapiro Department of Mathematical Sciences, George Mason University, Fairfax, VA, 22030, U.S.A.
Pages 745-750 | Published online: 01 Feb 2007

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David F. Anderson & Ayman Badawi. (2022) The n-zero-divisor graph of a commutative semigroup. Communications in Algebra 50:10, pages 4155-4177.
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Driss Bennis, Brahim El Alaoui, Brahim Fahid, Michał Farnik & Raja L’hamri. (2021) The i-extended zero-divisor graphs of commutative rings. Communications in Algebra 49:11, pages 4661-4678.
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Shikun Ou & Dein Wong. (2019) Automorphism group of rank-decreasing graph of matrices. Communications in Algebra 47:8, pages 3181-3189.
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Avinash A. Patil & B.N. Waphare. (2019) Characterizations of connected orthogonality graphs of projections of Rickart ∗-rings. Quaestiones Mathematicae 42:1, pages 59-71.
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Candace F. Kimball & John D. LaGrange. (2018) The idempotent-divisor graphs of a commutative ring. Communications in Algebra 46:9, pages 3899-3912.
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Dengyin Wang, Xiaobin Ma & Fenglei Tian. (2016) Automorphism Group of the Rank-decreasing Graph Over the Semigroup of Upper Triangular Matrices. Communications in Algebra 44:9, pages 4088-4096.
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Xiaobin Ma & Dein Wong. (2016) Automorphism group of an ideal-relation graph over a matrix ring. Linear and Multilinear Algebra 64:2, pages 309-320.
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F. Aliniaeifard, M. Behboodi, E. Mehdi-Nezhad & A.M. Rahimi. (2014) The Annihilating-Ideal Graph of a Commutative Ring with Respect to an Ideal. Communications in Algebra 42:5, pages 2269-2284.
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G. Aalipour & S. Akbari. (2014) Some Properties of a Cayley Graph of a Commutative Ring. Communications in Algebra 42:4, pages 1582-1593.
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A.M. Rahimi. (2013) Smarandache Vertices of the Graphs Associated to the Commutative Rings. Communications in Algebra 41:5, pages 1989-2004.
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JohnD. LaGrange. (2008) On Realizing Zero-Divisor Graphs. Communications in Algebra 36:12, pages 4509-4520.
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Dancheng Lu & Tongsuo Wu. (2007) The Zero-Divisor Graphs Which Are Uniquely Determined By Neighborhoods. Communications in Algebra 35:12, pages 3855-3864.
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StephenE. Wright. (2007) Lengths of Paths and Cycles in Zero-Divisor Graphs and Digraphs of Semigroups. Communications in Algebra 35:6, pages 1987-1991.
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Jim Coykendall & Jack Maney. (2007) Irreducible Divisor Graphs. Communications in Algebra 35:3, pages 885-895.
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NealO. Smith. (2006) Infinite Planar Zero-Divisor Graphs. Communications in Algebra 35:1, pages 171-180.
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H. R. Maimani, M. R. Pournaki & S. Yassemi. (2006) Zero-Divisor Graph with Respect to an Ideal. Communications in Algebra 34:3, pages 923-929.
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Shane P. Redmond. (2003) An Ideal-Based Zero-Divisor Graph of a Commutative Ring. Communications in Algebra 31:9, pages 4425-4443.
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Bilal Ahmad Rather, Fawad Ali, Asad Ullah, Nahid Fatima & Rahim Dad. (2022) Aγ Eigenvalues of Zero Divisor Graph of Integer Modulo and Von Neumann Regular Rings. Symmetry 14:8, pages 1710.
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Xinlei Wang, Dein Wong & Fenglei Tian. (2020) Automorphism group of the one-divisor graph over the semigroup of upper triangular matrices. Journal of Algebra and Its Applications 20:11.
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