Open AccessAutomorphisms of Zero Divisor Graphs of Cube Radical Zero Completely Primary Finite Rings
Author(s) -
Lao Hussein Mude,
Owino Maurice Oduor,
Ojiema Michael Onyango
Publication year - 2020
Publication title -
journal of advances in mathematics and computer science
Language(s) - English
Resource type - Journals
ISSN - 2456-9968
DOI - 10.9734/jamcs/2020/v35i830316
Subject(s) - zero divisor , zero (linguistics) , mathematics , automorphism , divisor (algebraic geometry) , pure mathematics , algebraic number , combinatorics , discrete mathematics , mathematical analysis , philosophy , linguistics
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.