Zero-divisor Graph Generalizations

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 6 in Graphs from Rings, 2021, pp 239-292 from Springer

Abstract: Abstract The concept of zero-divisor graph has been generalized to many other algebraic structures such as commutative semigroups, noncommutative rings, commutative semirings, modules over commutative rings, posets, and lattices. We first study the zero-divisor graph of noncommutative (i.e., not necessarily commutative) rings.

Date: 2021
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DOI: 10.1007/978-3-030-88410-9_6

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