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Research Article Open access CC BY 4.0

Automorphisms of Zero Divisor Graphs of Cube Radical Zero Completely Primary Finite Rings

Lao Hussein Mude, Owino Maurice Oduor, Ojiema Michael Onyango

Journal of Advances in Mathematics and Computer Science · pp. 83–90 · Published 24 Dec 2020

10.9734/jamcs/2020/v35i830316

Abstract

One of the most interesting areas of research that has attracted the attention of many scholars are theory of zero divisor graphs. Most recent research have focused on properties of zero divisor graphs with little attention given on the automorphsisms, despite the fact that automorphisms are useful in interpreting the symmetries of algebraic structure. Let R be a commutative unital finite rings and Z(R) be its set of zero divisors. In this study, the automorphisms zero divisor graphs of such rings in which the product of any three zero divisor is zero has been determined.

Automorphisms zero divisor graphs completely primary finite rings.

Cited by 2

Matrices of the Zero Divisor Graphs of Classes of 3-Radical Zero Completely Primary Finite Rings

Frank Omondi Ndago, Maurice Owino Oduor, Michael Onyango Ojiema · SCIENCE MUNDI · 2024

Analysis of Adjacency, Laplacian and Distance Matrices of Zero Divisor Graphs of 4-Radical Zero Completely Primary Finite Rings

Frank Omondi Ndago, Maurice Owino Oduor, Michael Onyango Ojiema · SCIENCE MUNDI · 2024

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