Generalized Zero-divisor Graphs

David F. Anderson (), T. Asir (), Ayman Badawi () and T. Tamizh Chelvam ()
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David F. Anderson: University of Tennessee, Department of Mathematics
T. Asir: Madurai Kamaraj University, Department of Mathematics
Ayman Badawi: American University of Sharjah, Department of Mathematics, Nab 262
T. Tamizh Chelvam: Manonmaniam Sundaranar University, Department of Mathematics

Chapter Chapter 5 in Graphs from Rings, 2021, pp 173-237 from Springer

Abstract: Abstract The zero-divisor graph of a commutative ring has been generalized by several authors. The two most notable generalizations are the ideal-based zero-divisor graph and annihilating-ideal graph of commutative rings. We first discuss the ideal-based zero-divisor graph of a commutative ring.

Date: 2021
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DOI: 10.1007/978-3-030-88410-9_5

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