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

Main Article Content

Lao Hussein Mude
Owino Maurice Oduor
Ojiema Michael Onyango

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.

Keywords:
Automorphisms, zero divisor graphs, completely primary finite rings.

Article Details

How to Cite
Mude, L. H., Oduor, O. M., & Onyango, O. M. (2020). Automorphisms of Zero Divisor Graphs of Cube Radical Zero Completely Primary Finite Rings. Journal of Advances in Mathematics and Computer Science, 35(8), 83-90. https://doi.org/10.9734/jamcs/2020/v35i830316
Section
Original Research Article

References

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