Automorphisms of Zero Divisor Graphs of Power Four Radical Zero Completely Primary Finite Rings
Lao Hussein Mude *
Department of Pure and Applied Sciences, Kirinyaga University, P. O. Box 143-10300, Kerugoya, Kenya.
Owino Maurice Oduor
Department of Mathematics, Actuarial and Physical Sciences, University of Kabianga, P. O. Box 2030-20200, Kericho, Kenya.
Ojiema Michael Onyango
Department of Mathematics, Masinde Muliro University of Science and Technology, P. O. Box 190-50100, Kakamega, Kenya.
*Author to whom correspondence should be addressed.
Abstract
Let R be a commutative unital finite rings and Z(R) be its set of zero divisors. The study of automorphisms of algebraic structures via zero divisor graphs is still an active area of research. Perhaps, because of the fact that automorphisms have got real life application in capturing the symmetries of algebraic structures. In this study, the automorphisms zero divisor graphs of such rings in which the product of any four zero divisor is zero has been determined.
Keywords: Automorphisms, zero divisor graphs, completely primary finite rings